Question

Factor out the GCF. $$ w^{3}-5 u^{3} v^{2} $$

   Factor out the GCF.
$$
w^{3}-5 u^{3} v^{2}
$$

Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 13, Problem 32

Instant Answer

Solved by Expert Matthew Biollo

03/27/2021

Step 1

In this case, there is no common factor between $w^3$ and $-5u^3v^2$. Show more…

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Factor out the GCF. $$ w^{3}-5 u^{3} v^{2} $$

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Key Concepts

Greatest Common Factor (GCF)

The GCF is the largest factor, numerical and/or algebraic, that divides each term of an algebraic expression. Identifying the GCF allows you to simplify the expression by factoring it out, which is often a first step in solving equations or simplifying expressions.

Factoring

Factoring is the process of rewriting an expression as a product of simpler expressions. In the context of polynomial expressions, you typically factor out common elements, such as the GCF, to simplify the expression or to prepare it for further algebraic manipulation.

Polynomial Terms

Polynomial terms are individual components of an expression that consist of coefficients multiplied by variables raised to powers. Recognizing the structure and components of each term is crucial for determining what common factors exist among them.

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