Answer
$2x(3-2x+x^2)$
Work Step by Step
Factoring the $GCF=
2x
,$ the given expression, $
6x-4x^2+2x^3
,$ is equivalent to
\begin{array}{l}\require{cancel}
2x
\left(
\dfrac{6x}{2x}-\dfrac{4x^2}{2x}+\dfrac{2x^3}{2x}
\right)
\\\\=
2x(3-2x+x^2)
.\end{array}