Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set: 75

Answer

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

Work Step by Step

The given expression, $ 2x^4+2x^3-4x^2-4x ,$ simplifies to \begin{array}{l}\require{cancel} 2x(x^3+x^2-2x-2) \\\\= 2x[(x^3+x^2)-(2x+2)] \\\\= 2x[x^2(x+1)-2(x+1)] \\\\= 2x[(x+1)(x^2-2)] \\\\= 2x(x+1)(x^2-2) .\end{array}
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