Answer
$x^{3}(x+1)(x^{2}-x+1)$
Work Step by Step
We simplify as follows:
$x^{6}+x^{3}$
$=x^{3}(x^{3}+1)$ (Then we use sum of cubes)
$=x^{3}(x+1)(x^{2}-x+1)$
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