Factor. 9 a x-3 b x+12 a y-4 b y

Name: Problem 127, Chapter 7: Intermediate Algebra for College Students
Uploaded: 2022-02-09T14:05:49-08:00
Duration: 1 min 28 s
Channel: Allison Knapp
Description: Factor. 9 a x-3 b x+12 a y-4 b y

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Key Concepts

Factoring Polynomials

Factoring polynomials involves rewriting an expression as a product of simpler expressions. This process can simplify complex expressions and is fundamental in solving equations, simplifying functions, and analyzing polynomial behavior.

Common Factor Extraction

Common factor extraction is a technique where you identify and remove a common multiplicative factor from terms in an expression. Removing the greatest common factor (GCF) simplifies the expression and often sets the stage for further factoring.

Factoring by Grouping

Factoring by grouping is used when an expression has four or more terms. It involves organizing terms into groups that share a common factor, then factoring each group separately. This method leverages the distributive property to simplify the overall expression.

Distributive Property

The distributive property connects multiplication with addition, stating that a(b + c) = ab + ac. In reverse, it is used to factor out a common factor from terms, which is a crucial step in many factoring methods.

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