Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set: 19

Answer

$2x(x+1)(x-1)$

Work Step by Step

Since $2x$ is common to both terms of the equation, we take it out as a common factor: $2x^{3}-2x=2x(x^{2}-1)$ We simplify the expression further using the rule $a^{2}-b^{2}=(a+b)(a-b)$: $2x(x^{2}-1)=2x(x^{2}-1^{2})=2x(x+1)(x-1)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.