Answer
$4x^2(2-x^2)$
Work Step by Step
Factoring the $GCF=
4x^2
,$ the given expression, $
8x^2-4x^4
,$ is equivalent to
\begin{array}{l}\require{cancel}
4x^2
\left(
\dfrac{8x^2}{4x^2}-\dfrac{4x^4}{4x^2}
\right)
\\\\=
4x^2(2-x^2)
.\end{array}