Answer
$\frac{2(x + 5)}{x(y + 5)}$
Work Step by Step
$\frac{x^2 - 9}{x^2 - 3x}$ $\div$ $\frac{xy + 5x + 3y + 15}{2x + 10}$
= $\frac{(x + 3)(x - 3)}{x(x - 3)}$ $\div$ $\frac{y(x + 3) + 5(x + 3)}{2(x + 5)}$
= $\frac{(x + 3)}{x}$ $\div$ $\frac{(y + 5)(x + 3)}{2(x + 5)}$
= $\frac{(x + 3)}{x}$ $\times$ $\frac{2(x + 5)}{(y + 5)(x + 3)}$
= $\frac{2(x + 5)}{x(y + 5)}$