Chapter 7 - Rational Functions - 7.3 Multiplying and Dividing Rational Expressions - 7.3 Exercises - Page 580: 9

$= \frac{2(x+5)}{(x-7)}$

$\frac{2(x-4)}{3x-12} \times \frac{3(x+5)}{(x-7)}$ $= \frac{2(x-4)}{3(x-4)} \times \frac{3(x+5)}{(x-7)}$ $= \frac{2}{3} \times \frac{3(x+5)}{(x-7)}$ $= \frac{2(3(x+5))}{3(x-7)}$ $= \frac{6(x+5)}{3(x-7)}$ $= \frac{2(x+5)}{(x-7)}$