Answer
$-4x^4+8x^2-8x$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
(x^3-2x+2)(-4x)
,$ is equivalent to
\begin{array}{l}\require{cancel}
x^3(-4x)-2x(-4x)+2(-4x)
\\\\=
-4x^4+8x^2-8x
.\end{array}