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}
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.