Answer
$-32x^3+2xy^2$
Work Step by Step
Using $(a-b)(a+b)=a^2-b^2$, or the product of the sum and difference of like terms, the given expression, $
-2x(4x+y)(4x-y)
,$ is equivalent to
\begin{array}{l}\require{cancel}
-2x[(4x)^2-(y)^2]
\\\\=
-2x(16x^2-y^2)
.\end{array}
Using the Distributive Property, the expression, $
-2x(16x^2-y^2)
,$ is equivalent to
\begin{array}{l}\require{cancel}
-32x^3+2xy^2
.\end{array}