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

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

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

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