Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.2 - Solving Quadratic Equations by Completing the Square - Exercise Set: 74

Answer

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

Work Step by Step

Step 1: Apply the difference of square rule: $x^2-y^2=(x+y)(x-y)$ $x^{4}-1=(x^{2}+1)(x^{2}-1)$ Step 2: Factor $x^{2}-1$ $=(x+1)(x-1)(x^{2}+1)$
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