Answer
$(2-a)(4+2a+a^2)$
Work Step by Step
With $8=2^3$, the given polynomial is equivalent to:
$=2^3-a^3$
Factor using the formula $x^3-y^3=(x-y)(x^2+xy+y^2)$ with $x=2$ and $y=a$ to obtain:
$=(2-a)(2^2+2\cdot a + a^2)
\\=(2-a)(4+2a+a^2)$
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.4 Factoring Polynomials - R.4 Exercises - Page 44: 73
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