Answer
$\frac{5x}{y}$
Work Step by Step
Given.
$\frac{x^2+x}{5}\cdot\frac{25}{xy+y}$
Factor out x in the first and x in the second rational expression.
$=\frac{x(x+1)}{5}\cdot\frac{5\cdot5}{y(x+1)}$
Cancel the common factors then multiply.
$=\frac{5x}{y}$