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