Answer
$\dfrac{a(5a - 7)}{(a+1)(a-3)}$
Work Step by Step
$\frac{3a}{a+1} + \frac{2a}{a-3}$
$= \frac{3a \times (a-3)}{(a+1) \times (a-3)} + \frac{2a \times (a+1)}{(a-3) \times (a+1)}$
$= \frac{3a^2 - 9a + 2a^2 +2a}{(a+1)(a-3)}$
$= \frac{5a^2 - 7a}{(a+1)(a-3)}$
$= \frac{a(5a - 7)}{(a+1)(a-3)}$
