Answer
$-16$
Work Step by Step
Substituting $x=2$ and $y=-3$, the given expression, $
x^3y-xy+2
,$ evaluates to
\begin{array}{l}\require{cancel}
(2)^3(-3)-(2)(-3)+2
\\\\=
(8)(-3)-(-6)+2
\\\\=
-24+6+2
\\\\=
-18+2
\\\\=
-16
.\end{array}