Question 64574
5x/x^2-x-6  -  4/x^2+4x+4  = 
5x/(x-3)(x+2) - 4/(x+2)^2 = 
5x(x+2)/(x-3)(x+2)^2 - 4(x-3)/(x-3)(x+2)^2 = 
(5x^2+10x)/(x-3)(x+2)^2   + (-4x + 12)/(x-3)(x+2)^2 =
(5x^2 + 6x + 12)/(x-3)(x+2)^2 

Happy New Year
Fadel Salem
Egypt
fadelsalem@hotmail.com