Answer
$\frac{(a+5)}{5(a-5)}$
Work Step by Step
$\frac{\frac{3a+2}{a^2-10a+25}}{\frac{15a+10}{a^2-25}}$
$\frac{3a+2}{a^2-10a+25}\div{\frac{15a+10}{a^2-25}}$
$\frac{3a+2}{a^2-10a+25}*{\frac{a^2-25}{15a+10}}$
$\frac{3a+2}{(a-5)(a-5)}*\frac{(a+5)(a-5)}{5(3a+2)}$
$\frac{(3a+2)(a+5)(a-5)}{(a-5)(a-5)5(3a+2)}$
$\frac{(a+5)}{5(a-5)}$
