Chapter 7 - Rational Functions - 7.3 Multiplying and Dividing Rational Expressions - 7.3 Exercises - Page 580: 14

$= \frac{(c-11)}{(c+2)} $

$\frac{(c-3)(c+6)}{(c-7)(c+2)} \times \frac{(c-7)(c-11)}{(c+6)(c-3)}$ $= \frac{(c-3)(c+6)(c-7)(c-11)}{(c-7)(c+2)(c+6)(c-3)} $ $= \frac{(c+6)(c-7)(c-11)}{(c-7)(c+2)(c+6)} $ $= \frac{(c+6)(c-11)}{(c+2)(c+6)} $ $= \frac{(c-11)}{(c+2)} $