Answer
(2 - a)(4 + 2a + $a^{2}$)
Work Step by Step
8 - $a^{3}$ is a difference of cubes, so we write it as a difference of cubes and factor:
$2^{3}$ - $a^{3}$
= (2 - a)($2^{2}$ + (2)(a) + $a^{2}$)
= (2 - a)(4 + 2a + $a^{2}$)
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter R - Section R.4 - Factoring Polynomials - R.4 Exercises - Page 39: 61
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