EMTask Trigonometry Identity short


 Are you a math teacher who needs a reliable costeffective tool for preparation of tests? Are you a math student who needs detailed solutions to study for tests? If so, then you have come to the right place! EMTask offers for teachers and students a large repository of math problems with answers and solutions and easytouse test authoring options. Preparation of a test takes just a minute: you have to select a few topics and specify a complexity level  that's all! The software itself will select the correspoding math examples. More demanding users can select each example visually. When you save your test, EMTask automatically generates a number of similar test variants. All math tests with or without the solutions can be printed out. Dozens of tests are ready for students to review and reinforce their math skills. The trial version of EMTask can be downloaded from this site. Free online demos allow viewing variant tests and examples of math problems solutions from EMTask. 


Parameters of the program
Name of program:

EMTask_Trigonometry_Identity_short

Number of problems:

44117

Number of similar variants:

2

Languages of interface:

English, German

Price:

32 EUR

Size of archive:

4468 kb

44117 trigonometric identities with proofs. All trigonometric and arctrigonometric functions included. Fundamental identity, universal substitution, multiple arguments, reduction formulas and more. Sorting problems by 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 MATH TEST AUTHORING SOFTWARE  TIMESAVING & COSTEFFECTIVE SOLUTION FOR MATH TEACHERS
Press release
ABSTRACT. EMTeachline Software has released a PCbased test authoring mathematics software package that offers a comprehensive set of test authoring tools for math teachers and a large repository of math problems in arithmetic, prealgebra, algebra, precalculus, trigonometry and hyperbolic trigonometry, with answers and solutions. Authoring options enable teachers to select math problems by topic, difficulty level and solution method, create printable math tests, quizzes, exams and homeworks of varied complexity and develop numerous similar variants around each constructed test. The software is suitable for elementary, middle and high school use.
1. MATH SOFTWARE OVERVIEW
Teaching problem solving skills in math requires a large amount of training in solving math problems. The EMTeachline Math Test Authoring Software EMTask helps math teachers in the organization of the teaching and learning process. Provide each student in your class with an individual practice test!
The software modules are organized by subject. Each module offers hundreds of math problem types, with dozens of similar problems within one type. Math problems of 11 levels of complexity are presented in a logical sequence from basic to advanced. All problems are solved in detail.
A comprehensive set of test authoring options makes preparation of math tests, quizzes, homeworks and exams an easy and creative work. With thousands of math problems at hands, teachers do not have to search for fresh examples. They can select math problems by complexity level, solution method and type of task; develop customizable math tests of varied complexity in a minute and generate up to 30 similar variants around each constructed test. All developed materials with or without the solutions can be printed out or stored in a file and reused. A set of variant tests is ready for students to review and reinforce their math skills.
2. MATH 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.
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.
3. USER OPTIONS
For math students: You can review solutions of math problems step by step and try to solve similar math problems on your own.
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; 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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