Answer
$(x+4)(x^2-4x+16)$
Work Step by Step
The given expression can be written as
$x^3+4^3.$
RECALL:
$a^3+b^3=(a+b)(a^2-ab+b^2).$
Factor the given sum of two cubes to obtain
$(x+4)(x^2-x(4)+4^2)
\\=(x+4)(x^2-4x+16).$
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 - Section P.5 - Factoring Polynomials - Exercise Set - Page 69: 58
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