Answer
$\dfrac{9x-2y}{3x^2y^2}$
Work Step by Step
Using the $LCD=
3x^2y^2
,$ the given expression, $
\dfrac{3}{xy^2}-\dfrac{2}{3x^2y}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{3x(3)-y(2)}{3x^2y^2}
\\\\=
\dfrac{9x-2y}{3x^2y^2}
.\end{array}