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 - Review Exercises - Page 480: 65

Answer

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

Work Step by Step

$ x^{4}-1\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$ $=(x^{2})^{2}-1^{2}$ $=(x^{2}+1)(x^{2}-1)\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$ $=(x^{2}+1)(x-1)(x+1)$
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