Answer
$\frac{17m-47}{(m+2)(m-7)}$
Work Step by Step
Given : $\frac{9}{m+2} + \frac{8}{m-7}$
This becomes : $\frac{9(m-7)}{(m+2)(m-7)} + \frac{8(m+2)}{(m+2)(m-7)}$
(Finding the least common denominator)
$= \frac{9(m-7)+8(m+2)}{(m+2)(m-7)}$
$= \frac{9m-63+8m+16}{(m+2)(m-7)}$
$= \frac{17m-47}{(m+2)(m-7)}$