Answer
$x\left(8+x^2\right)$
Work Step by Step
Factoring the $GCF=x$, the given expression, $
8x+x^3
$, is equivalent to
\begin{align*}
&
x\left(\dfrac{8x}{x}+\dfrac{x^3}{x}\right)
\\\\&=
x\left(8+x^2\right)
.\end{align*}
Hence, the factored form of the expression $
8x+x^3
$ is $
x\left(8+x^2\right)
$.
