SOLUTION: Simplify. {{{(7/(x^2-x-6))-(2/(x^2-4))+(3/(x^2-5x+6))}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify. {{{(7/(x^2-x-6))-(2/(x^2-4))+(3/(x^2-5x+6))}}}      Log On


   



Question 463338: Simplify.
%287%2F%28x%5E2-x-6%29%29-%282%2F%28x%5E2-4%29%29%2B%283%2F%28x%5E2-5x%2B6%29%29

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
7/(x^2-x-6)-(2/(x^2-4))+(3/(x^2-5x+6)
7/(x-3)(x+2)-2/(x+2)(x-2)+3/(x-3(x-2)
LCD: (x-3)(x+2)(x-2)
7(x-2)-2(x-3)+3(x+2)
7x-14-2x+6+3x+6
8x-2
2(4x-1)