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 - Page 274: 19



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 $a^{2}-b^{2}=(a+b)(a-b)$: $2x(x^{2}-1)=2x(x^{2}-1^{2})=2x(x+1)(x-1)$
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