## Elementary Algebra

Published by Cengage Learning

# Chapter 7 - Algebraic Fractions - Chapters 1-7 Cumulative Review Problem Set: 39

#### Answer

$3x(x+1)(x-1)$

#### Work Step by Step

Since $3x$ is common to all the terms in the expression, we obtain: $3x^{3}-3x$ =$3x(x^{2}-1)$ Now, we use the relation $a^{2}-b^{2}=(a+b)(a-b)$ to simplify: $3x(x^{2}-1)$ =$3x(x^{2}-1^{2})$ =$3x(x+1)(x-1)$

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