Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Review - Page 538: 75



Work Step by Step

$6d^{4}+4d^{3}-6d^{2}-4d=$ ...factor out the GCF. $=2d(3d^{3}+2d^{2}-3d-2)$ ...factor by grouping. $=2d[d^{2}(3d+2)-1(3d+2)]$ ...factor again. $=2d(d^{2}-1)(3d+2)$ ...write $d^{2}-1$ as a difference of two squares. $=2d(d+1)(d-1)(3d+2)$
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