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**A l g e b r a**

Operations with negative and positive numbers

Formulas of abridged multiplication

Division of polynomial by linear binomial

Problems: Algebraic transformations

Main ways used at solving of equations

Linear equations in one unknown

System of two simultaneous linear equations in two unknowns

System of three simultaneous linear equations in three unknowns

Irrational numbers. Formula of complicated radical

Solution of a quadratic equation

Properties of roots of a quadratic equation. Viete's theorem

Factoring of a quadratic trinomial

Problems: Algebraic equations

Problems: Vectors and complex numbers

Inequalities: common information

Proving and solving of inequalities

Problems: Inequalities

Arithmetic and geometric progressions

Problems: Sequences and progressions

Problems: Logarithmic and exponential equations

Theory of combinations. Newton's binomial

Problems: Theory of combinations. Newton's binomial