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Chapter 14 Guide to Mathematical Thinking 8
Chapter 14 multiplication and factorization of algebraic expressions

First, the multiplication of algebraic expressions

Same base power multiplication

The power of power

Product multiplier

Multiply the monomial by the monomial.

Polynomial multiplied by single term

Polynomial multiplied by polynomial

Power division of the same radix

Divide the monomial by the monomial.

Polynomial divided by monomial

Two. Multiplication formula

formula for the difference of square

Perfect square trinomial

Rules for removing brackets: when adding brackets, if there is a plus sign before the brackets, all enclosed items in the live number will remain unchanged; If there is a minus sign in front of parentheses, all items expanded into parentheses will change their signs.

Three. resolution into factors

Definition: Polynomial is transformed into the product of several algebraic expressions. Formula deformation like this is called factorization of this polynomial, which is also called factorization of this polynomial.

Methods of improving common factor

Formula method

Cross multiplication