Answer
$-9x^3y+2x^2y+6xy$
Work Step by Step
Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $
-xy(9x^2-2x-6)
,$ is equivalent to
\begin{array}{l}\require{cancel}
-xy(9x^2)-xy(-2x)-xy(-6)
\\\\=
-9x^3y+2x^2y+6xy
.\end{array}