EMSolution Trigonometry Identity


 Get an effective help in learning problemsolving skills and grasping math concepts! EMSolution offers an infinite number of fully explained solutions. Each solution evolves step by step; each step of solution is provided with its objective, grounding definition and rule and with underlying formula or theorem. EMSolution encourages students to learn through indepth understanding of each solution step and repetition rather than through rote memorization. You can review solutions step by step, learn related math concepts, study solution methods, try to solve similar math problems on your own, and in parallel, learn math lexicon in a foreign language! For math teachers, EMSolution offers a number of easytouse test authoring options. You can select problems by topic, solution method and complexity level, prepare printable math tests and develop numerous test variants literally in a minute. A difficulty scale for each task will assist teachers in a class of mixed ability students. Free fully functional downloadable version of EMSolution is available. Free online demos allow trying most of the user options and viewing examples of fully explained solutions. 


Parameters of the program
Name of program:

EMSolution_Trigonometry_Identity

Number of problems:

77373

Number of similar variants:

5

Languages of interface:

English, German

Price:

93 EUR

Size of archive:

6693 kb

77373 trigonometric identities. Fully explained stepbystep proofs. Related theory. All trigonometric and arctrigonometric functions included. Option of translation. Sorting problems by topics, complexity levels and solution methods. Authoring options enabling development of tests, quizzes, exams and problem solving lesson plans. Automatic generation of variant tests. Dozens of ready tests.
System Requirements:
Pentium 2 or higher
64 MB RAM
Windows 98 or higher
Internet Explorer 5.5 or higher
Plugin MathPlayer (downloadable from here)
Program's detail
Examples
An online sample of math problems and problem solutions from this program is provided below:
EMTEACHLINE MATHEMATICS SOFTWARE: MATH PROBLEM SOLVING FOR KIDS AND TEENS
Press release
ABSTRACT. EMTeachline Software has released a PCbased mathematics software package that offers a huge collection of problemsolving lessons in arithmetic, prealgebra, algebra, trigonometry and hyperbolic trigonometry with handson tutorials. This encyclopedic software contains hundreds of thousands of fully explained step by step solutions to math problems from basic to advanced and thousands of related definitions, rules, math formulas and theorems. Each step of solution is provided with its objective, relevant definition and rule, and with fully explained step by step proof of the underlying math formulae or theorem. The software helps children review, explore and effectively learn essential math skills. Easytouse test authoring tools enable math teachers to develop customizable math tests, variant tests, quizzes, exams and problemsolving lesson plans. The software is suitable for elementary, middle and high school use. Designed as a supplement classroom instruction. Provides a useful help for math teachers.
1. SOFTWARE OVERVIEW
Building problem solving skills in math requires grasping math concepts and a large amount of training in solving similar tasks. EMTeachline Mathematics Software provides children with the chance to do just that. This software encourages kids to learn through indepth understanding of each solution step and repetition rather than through rote memorization. Children who are struggling in math learn best through repetition. Those who stick with this mathematics software will come away with a stronger understanding of fundamental math concepts, improved higherlevel thinking skills and excellent skills in solving math problems.
EMTeachline Mathematics Problem Solving Software  EMSolution  consists of dozens of modules arranged in topics. Each module offers hundreds of math problem types, with dozens of similar math problems within one type. Math learning is effective when problems gradually advance in difficulty. This software offers 11 levels of complexity for each problem type, from basic to extra difficult. Kids who are strong in math and need a challenge can adjust the difficulty level at any moment.
Learners can review solutions step by step and study related math theory. Each step of solution is provided with its objective, relevant definition and rule, and with fully explained step by step proof of the underlying math formulae or theorem. This tutoring material is provided in a useful manner, so that it is always under hand. A set of ready math tests is designed for children to review and reinforce their math skills. Problem situations, solutions and tutoring material can be printed out.
More than just a math tutorial, this bilingual problemsolving software offers a way for children to learn math lexicon in a foreign language. Translation of any text to German (or another language) is easily obtained by doubleclicking on it. Those who study not in a native language will find this option particularly attractive.
Test authoring options make development of math tests, quizzes, homeworks and exams an easy and creative work. With thousands math problems at hands, math teachers do not have to search for fresh exmples. You can select math problems by complexity levels, solution methods and types of tasks; develop customizable math tests of varied complexity in a minute; create your own didactic materials and problemsolving lesson plans, and generate numerous similar variant tests around a constructed example. All developed materials can be printed out or stored in a file and reused. These easytouse authoring tools provide an ideal solution for a classroom teacher.
Let's be honest  this program is not for funseekers. No sounds, no colorful visual effects. The tutorial material is presented in a dry academic fashion. Most kids would use this program to review for an exam that they are required to take. However, the contents hold much appeal for children who enjoy solving math problems and like challenges. Those who look for a systematic math knowledge will find the software to be particularly engaging.
2. SKILLS COVERED
Arithmetic and PreAlgebra: Operations: multiplication, division, addition, subtraction. Fractions, powers. Numeric expressions: estimation, equivalencies, problemsolving. Solving arithmetic problems using algebraic formulas.
Algebra: Polynomial and fractional rational expressions: transformation, simplification, evaluation. Solution of linear, quadratic, cubic, biquadratic, reciprocal and fractional algebraic equations and inequalities. Proofs of algebraic identities. Solution methods: Substitution, factoring, grouping, Bezout theorem, formulas of short multiplication, method of intervals and more. Related theory: definitions and rules, proof of algebraic formulas and theorems.
Trigonometry and Hyperbolic Trigonometry: trigonometric and hyperbolic functions, arcus functions. Trigonometric and hyperbolic expressions: transformation, simplification, evaluation. Solution of trigonometric and hyperbolic equations. Proofs of trigonometric and hyperbolic identities. Solution methods: universal substitution, sum, product and addition of trigonometric functions, power reduction, multiple argument, shift of argument and more. Related theory: definitions and rules, proof of trigonometric and hyperbolic formulas.
3. USER OPTIONS
For math students: You can review solutions of math problems step by step, learn related math concepts, study solution methods, review proofs of used math formulas, try to solve similar math problems on your own, and in parallel, learn math lexicon in a foreign language!
For math teachers: You can use an extensive bank of math problems; arrange problems by topic, complexity level, solution method and type of task; compile math tests, quizzes, homeworks and exams of varied complexity; create your own didactic materials and problemsolving lesson plans; generate numerous similar variant math tests around a constructed example. You can use dozens of ready variant tests.
Contents of the program
Themes
Chapters and sections
Trigonometric expressions. Transformations and proofs 
Chapters 
Sections 
Transformation of linear expressions and expressions reduced to them

 Transformation of linear expressions and expressions reduced to them. Elementary linear expressions
 Transformation of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Distributive law
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Properties of powers
 Transformation of linear expressions and expressions reduced to them. Expressions reduced to linear expressions
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication

Transformation of quadratic algebraic expressions and expressions reduced to them

 Transformation of quadratic algebraic expressions and expressions reduced to them. Elementary quadratic expressions
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions containing fractions
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Decomposition of quadratic trinomial
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Grouping method
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Transformation of algebraic highdegree expressions

 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Standard problems. Integer roots
 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Irrational roots
 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Reducible problems. Integer roots
 Transformation of algebraic highdegree expressions. High degrees. Grouping method
 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Reducible problems. Irrational roots
 Transformation of algebraic highdegree expressions. High degrees. Formulas of short multiplication
 Transformation of algebraic highdegree expressions. High degrees. Difference of squares
 Transformation of algebraic highdegree expressions. High degrees. Factorization of quadratic trinomial
 Transformation of algebraic highdegree expressions. High degrees. Properties of fractions
 Transformation of algebraic highdegree expressions. High degrees. Difference and sum of cubes
 Transformation of algebraic highdegree expressions. High degrees. Method of substitution

Factorization of linear expressions and expressions reduced to them

 Factorization of linear expressions and expressions reduced to them. Elementary linear expressions
 Factorization of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Distributive law
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Properties of powers
 Factorization of linear expressions and expressions reduced to them. Expressions reduced to linear expressions
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication

Factorization of quadratic expressions and expressions reduced to them

 Factorization of quadratic expressions and expressions reduced to them. Elementary quadratic expressions
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Factorization of quadratic trinomial
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Grouping method
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Factorization of algebraic highdegree expressions

 Factorization of algebraic highdegree expressions. High degrees. Grouping method
 Factorization of algebraic highdegree expressions. High degrees. Perfect square
 Factorization of algebraic highdegree expressions. High degrees. Difference of squares
 Factorization of algebraic highdegree expressions. High degrees. Factorization of quadratic trinomial
 Factorization of algebraic highdegree expressions. High degrees. Properties of fractions
 Factorization of algebraic highdegree expressions. High degrees. Difference and sum of cubes

Proof of identities related with linear expressions and expressions reduced to them

 Proof of identities related with linear expressions and expressions reduced to them. Elementary linear expressions
 Proof of identities related with linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Distributive law
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Properties of powers
 Proof of identities related with linear expressions and expressions reduced to them. Expressions reduced to linear expressions
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Properties of fractions. Distributive law

Proof of identities related with quadratic expressions and expressions reduced to them

 Proof of identities related with quadratic expressions and expressions reduced to them. Elementary quadratic expressions
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Factorization of quadratic trinomial
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Grouping method
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Distributive law. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Proof of identities related with highdegree expressions

 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Standard problems. Integer roots
 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Irrational roots
 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Reducible problems. Integer roots
 Proof of identities related with highdegree expressions. High degrees. Grouping method
 Proof of identities related with highdegree expressions. High degrees. Perfect square
 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Reducible problems. Irrational roots
 Proof of identities related with highdegree expressions. High degrees. Formulas of short multiplication
 Proof of identities related with highdegree expressions. High degrees. Difference of squares
 Proof of identities related with highdegree expressions. High degrees. Factorization of quadratic trinomial
 Proof of identities related with highdegree expressions. High degrees. Properties of fractions
 Proof of identities related with highdegree expressions. High degrees. Difference and sum of cubes
 Proof of identities related with highdegree expressions. High degrees. Method of substitution

Proof of identities related with fractional algebraic expressions

 Proof of identities related with fractional algebraic expressions. Elementary fractional algebraic expressions
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with linear expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with cubic expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Method of substitution

Trigonometric expressions. Transformations and proofs. Arcus functions 
Chapters 
Sections 
Transformation of linear expressions and expressions reduced to them

 Transformation of linear expressions and expressions reduced to them. Elementary linear expressions
 Transformation of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Distributive law
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Properties of powers
 Transformation of linear expressions and expressions reduced to them. Expressions reduced to linear expressions
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
 Transformation of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
 Transformation of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication

Transformation of quadratic algebraic expressions and expressions reduced to them

 Transformation of quadratic algebraic expressions and expressions reduced to them. Elementary quadratic expressions
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions containing fractions
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Decomposition of quadratic trinomial
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Grouping method
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Transformation of quadratic algebraic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Transformation of algebraic highdegree expressions

 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Standard problems. Integer roots
 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Irrational roots
 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Reducible problems. Integer roots
 Transformation of algebraic highdegree expressions. High degrees. Grouping method
 Transformation of algebraic highdegree expressions. High degrees. Perfect square
 Transformation of algebraic highdegree expressions. High degrees. Bezout theorem. Reducible problems. Irrational roots
 Transformation of algebraic highdegree expressions. High degrees. Formulas of short multiplication
 Transformation of algebraic highdegree expressions. High degrees. Difference of squares
 Transformation of algebraic highdegree expressions. High degrees. Factorization of quadratic trinomial
 Transformation of algebraic highdegree expressions. High degrees. Properties of fractions
 Transformation of algebraic highdegree expressions. High degrees. Difference and sum of cubes
 Transformation of algebraic highdegree expressions. High degrees. Method of substitution

Factorization of linear expressions and expressions reduced to them

 Factorization of linear expressions and expressions reduced to them. Elementary linear expressions
 Factorization of linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Distributive law
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Properties of powers
 Factorization of linear expressions and expressions reduced to them. Expressions reduced to linear expressions
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
 Factorization of linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
 Factorization of linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication

Factorization of quadratic expressions and expressions reduced to them

 Factorization of quadratic expressions and expressions reduced to them. Elementary quadratic expressions
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Factorization of quadratic trinomial
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Grouping method
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Factorization of quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Factorization of algebraic highdegree expressions

 Factorization of algebraic highdegree expressions. High degrees. Grouping method
 Factorization of algebraic highdegree expressions. High degrees. Perfect square
 Factorization of algebraic highdegree expressions. High degrees. Difference of squares
 Factorization of algebraic highdegree expressions. High degrees. Factorization of quadratic trinomial
 Factorization of algebraic highdegree expressions. High degrees. Properties of fractions
 Factorization of algebraic highdegree expressions. High degrees. Difference and sum of cubes

Proof of identities related with linear expressions and expressions reduced to them

 Proof of identities related with linear expressions and expressions reduced to them. Elementary linear expressions
 Proof of identities related with linear expressions and expressions reduced to them. Elementary linear expressions containing fractions
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Distributive law
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Formulas of short multiplication. Cubes
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Properties of powers
 Proof of identities related with linear expressions and expressions reduced to them. Expressions reduced to linear expressions
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Rational coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Properties of fractions. Integer coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Integer coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Fractional expressions. Method of substitution. Rational coefficients
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Factorization of quadratic trinomial
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Distributive law
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Method of substitution. Formulas of short multiplication
 Proof of identities related with linear expressions and expressions reduced to them. Linear expressions. Properties of fractions. Distributive law

Proof of identities related with quadratic expressions and expressions reduced to them

 Proof of identities related with quadratic expressions and expressions reduced to them. Elementary quadratic expressions
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions containing fractions
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Formulas of short multiplication
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Distributive law. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Factorization of quadratic trinomial
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Properties of powers
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Grouping method
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Distributive law. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Quadratic expressions. Method of substitution. Formulas of short multiplication. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Distributive law. Rational coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Formulas of short multiplication. Integer coefficients
 Proof of identities related with quadratic expressions and expressions reduced to them. Fractional expressions. Method of substitution. Formulas of short multiplication. Rational coefficients

Proof of identities related with highdegree expressions

 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Standard problems. Integer roots
 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Irrational roots
 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Reducible problems. Integer roots
 Proof of identities related with highdegree expressions. High degrees. Grouping method
 Proof of identities related with highdegree expressions. High degrees. Perfect square
 Proof of identities related with highdegree expressions. High degrees. Bezout theorem. Reducible problems. Irrational roots
 Proof of identities related with highdegree expressions. High degrees. Formulas of short multiplication
 Proof of identities related with highdegree expressions. High degrees. Difference of squares
 Proof of identities related with highdegree expressions. High degrees. Factorization of quadratic trinomial
 Proof of identities related with highdegree expressions. High degrees. Properties of fractions
 Proof of identities related with highdegree expressions. High degrees. Difference and sum of cubes
 Proof of identities related with highdegree expressions. High degrees. Method of substitution

Proof of identities related with fractional algebraic expressions

 Proof of identities related with fractional algebraic expressions. Elementary fractional algebraic expressions
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with linear expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with quadratic expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with cubic expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with biquadratic expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator
 Proof of identities related with fractional algebraic expressions. Fractional algebraic expressions reduced to a fraction with reciprocal expression in numerator. Method of substitution

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