Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 688: 30

$\frac{17m-47}{(m+2)(m-7)}$

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) $= \frac{9(m-7)+8(m+2)}{(m+2)(m-7)}$ $= \frac{9m-63+8m+16}{(m+2)(m-7)}$ $= \frac{17m-47}{(m+2)(m-7)}$