The problem asks to simplify the given expression: $\frac{x^2y^3 + xy^2}{xy}$.

1. Problem Description

The problem asks to simplify the given expression: $\frac{x^2y^3 + xy^2}{xy}$.

2. Solution Steps

First, factor out the common term $xy^2$ from the numerator:

$x^2y^3 + xy^2 = xy^2(x y + 1)$.

Now, substitute this back into the original expression:

$\frac{x^2y^3 + xy^2}{xy} = \frac{xy^2(xy + 1)}{xy}$.

Next, we can cancel the common factor of $xy$ from the numerator and denominator:

$\frac{xy^2(xy + 1)}{xy} = y(xy + 1)$.

Finally, distribute the $y$ to the terms in the parentheses:

$y(xy + 1) = xy^2 + y$.

3. Final Answer

$xy^2 + y$