Answer
$ a^{3}-b^{3}$
Work Step by Step
Distribute
$(a-b)(a^{2}+ab+b^{2})=a(a^{2}+ab+b^{2})-b(a^{2}+ab+b^{2})$
$=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}$
The terms $ a^{2}b $ and $ ab^{2}$ cancel
= $ a^{3}-b^{3}$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Review Exercises - Page 143: 88
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