Answer
$(x + 4)(x^2 - 4x + 16)$.
Work Step by Step
Recall that $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$.
$x^3+64=x^3+4^3$
We use this to simplify the expression: $x^3+64=(x + 4)(x^2 - 4x + 4^2)$.
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: 100
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