Answer
$xy+2x+3y+6=(y+2)(x+3)$
Work Step by Step
Regroup to have:
$=(xy+2x)+(3y+6)$
Factor out the GCF $x$ in the first group and $3$ in the second group to have:
$=x(y+2)+3(y+2)$
Factor out the GCF $(y+2)$ to have:
$=(y+2)(x+3)$