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: 24



Work Step by Step

$ 7x^{4}-7\qquad$...factor out the GCF, $7$. $=7(x^{4}-1)\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$ $=7(x^{2}-1)(x^{2}+1)\qquad$...once again, recognize the difference of two squares. $=7(x^{2}+1)(x-1)(x+1)$
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