Answer
$x^{4}-1$
Work Step by Step
Using the formula $(a+b)(a-b)=a^{2}-b^{2}$ where $a=x^{2}$ and $b=1$, we have
$(x^{2}+1)(x^{2}-1)=(x^{2})^{2}-(1)^{2}$
$=x^{4}-1$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 7 - Polynomial Equations and Factoring - 7.3 - Special Products of Polynomials - Exercises - Page 376: 39
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