Answer
$x+1$
Work Step by Step
Using $a^3\pm b^3=(a\pm b)(a^2\mp ab+b^2)$, then,
\begin{array}{l}
\left( \sqrt[3]{x}+1 \right)\left( \sqrt[3]{x^2}-\sqrt[3]{x}+1 \right)
\\=
(\sqrt[3]{x})^3+(1)^3
\\=
x+1
.\end{array}
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