CPM Homework Help : PC3 Problem 6-72

Simplify.

$\frac{5}{x-2}-\frac{2x+1}{x-3}$
Step (a):
$\frac{5}{(x-2)}\cdot\frac{(x-3)}{(x-3)}-\frac{(2x+1)}{(x-3)}\cdot\frac{(x-2)}{(x-2)}$

$\frac{6m^2-24}{m^2+5m-14}\cdot\frac{3m^2-14m+15}{3m^2-9m-30}$
Hint (b):
Start by factoring each expression. Be sure to look for greatest common factors first.