Answer
$t^4-32t^2+256$
Work Step by Step
Use the formula $(a+b)(a-b)=a^2-b^2$, we have
$(t+4)(t+4)(t-4)(t-4)=(t+4)(t-4)[(t+4)(t-4)]=(t^2-16)(t^2-16)=(t^2-16)^2=t^4-32t^2+256$
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: 68
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