Question

Factor by grouping. $$ 5 a^{2}+30 a-2 a-12 $$

   Factor by grouping.
$$
5 a^{2}+30 a-2 a-12
$$

Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 13, Problem 62

Instant Answer

Solved by Expert Matthew Biollo

03/29/2021

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$$ (5a^2 + 30a) + (-2a - 12) $$ Show more…

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Factor by grouping. $$ 5 a^{2}+30 a-2 a-12 $$

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Key Concepts

Common Factor Extraction

Common factor extraction involves identifying and removing the greatest common factor from a set of terms. This simplifies the expression and is an essential step in the process of factorization, particularly when using grouping methods.

Distributive Property

The distributive property is a fundamental property of arithmetic and algebra that allows for the multiplication of a sum or difference by a factor. It is used in reverse during factorization to pull out common factors from grouped terms, thereby rewriting the expression in a simplified, factored form.

Factor by Grouping

Factor by grouping is a method of factoring polynomials in which terms are arranged into groups that share a common factor. This technique allows the polynomial to be rewritten as a product of simpler expressions by factoring out common factors from each group and then factoring out the common binomial factor.

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