Answer
$\frac{5(a+2)}{3(a-5)(a+5)}$
Work Step by Step
We simplify as follows:
$\frac{2}{3a-15}-\frac{a}{25-a^{2}}$
$=\frac{2}{3(a-5)}-\frac{a}{-(a-5)(a+5)}$
$=\frac{-2(a+5)}{-3(a-5)(a+5)}-\frac{3a}{-3(a-5)(a+5)}$
$=\frac{-5a-10}{-3(a-5)(a+5)}$
$=\frac{5(a+2)}{3(a-5)(a+5)}$