Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 462: 73

Answer

$2x^{3}(2x-1)(2x+1)$

Work Step by Step

$ 8x^{5}-2x^{3}\qquad$...factor out the common term, $2x^{3}$ $=2x^{3}(4x^{2}-1)\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$ $=2x^{3}(2x-1)(2x+1)$
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