Answer
$3xy(y+2x)$
Work Step by Step
The greatest common factor of $3$ and $6$ is $3$.
The greatest common factor of $xy^2$ and $x^2y$ is $xy$.
Thus, the greatest common factor of the terms of the given binomial is $3xy$.
Factor out $3xy$ to obtain:
$=3xy(y+2x)$
