Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Exercise Set - Page 494: 74

Answer

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

Work Step by Step

Using $a^2-b^2=(a+b)(a-b)$, then the factored form of the given expression, $ x^4-1 ,$ is \begin{array}{l}\require{cancel} (x^2+1)(x^2-1) \\\\= (x^2+1)(x+1)(x-1) .\end{array}
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