Answer
$x^4-2x^2+1$
Work Step by Step
Use the formula $(a+b)(a-b)=a^2-b^2$, we have
$(x+1)(x+1)(x-1)(x-1)=(x+1)(x-1)[(x+1)(x-1)]=(x^2-1)(x^2-1)=(x^2-1)^2=x^4-2x^2+1$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.3 Polynomials - R.3 Exercises - Page 33: 67
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