Answer
$45x^{2}y+18xy^{2}$
Work Step by Step
Using the Distributive Property, the product of the given expression, $
9xy(5x+2y)
,$ is
\begin{array}{l}\require{cancel}
9xy(5x)+9xy(2y)
\\\\=
45x^{1+1}y+18xy^{1+1}
\\\\=
45x^{2}y+18xy^{2}
.\end{array}