Answer
$8x^2y(4xy-3x-2)$
Work Step by Step
Factoring the $GCF=
8x^2y
,$ the given expression, $
32x^3y^2-24x^3y-16x^2y
,$ is equivalent to
\begin{array}{l}\require{cancel}
8x^2y
\left(
\dfrac{32x^3y^2}{8x^2y}-\dfrac{24x^3y}{8x^2y}-\dfrac{16x^2y}{8x^2y}
\right)
\\\\=
8x^2y(4xy-3x-2)
.\end{array}