Answer
$a+64$
Work Step by Step
Using $(a+b)(a^2-ab+b^2)=a^3+b^3$, the expression $
(\sqrt[3]{a}+4)(\sqrt[3]{a^2}-4\sqrt[3]{a}+16)
$ simplifies to
\begin{array}{l}
(\sqrt[3]{a})^3+(4)^3
\\=
a+64
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Review - Page 469: 102
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