Answer
$4x^2y+11xy+17$
Work Step by Step
Removing the grouping symbols and then combining like terms, the given expression, $
(7x^2y+5xy+13)+(-3x^2y+6xy+4)
,$ simplifies to
\begin{array}{l}\require{cancel}
7x^2y+5xy+13-3x^2y+6xy+4
\\\\=
(7x^2y-3x^2y)+(5xy+6xy)+(13+4)
\\\\=
4x^2y+11xy+17
.\end{array}