SOLUTION: Perform the indicated operation. Simplify if possible. x-4/x^2-2x-3 + 5x-2/x^2-7x+12

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operation. Simplify if possible. x-4/x^2-2x-3 + 5x-2/x^2-7x+12      Log On


   

Question 95468: Perform the indicated operation. Simplify if possible.
x-4/x^2-2x-3 + 5x-2/x^2-7x+12
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the denominators. %28%28x-4%29%2F%28x%2B1%29%28x-3%29%29%2B%28%285x-2%29%2F%28x-3%29%28x-4%29%29
LCD=(x+1)(x-3)(x-4)
%28%28x-4%29%28x-4%29%2B%285x-2%29%28x%2B1%29%29%2F%28%28x%2B1%29%28x-3%29%28x-4%29%29=
%28%28x%5E2-8%2B16%29%2B%285x%5E2%2B3x-2%29%29%2F%28%28x%2B1%29%28x-3%29%28x-4%29%29=
%286x%5E2-5x%2B14%29%2F%28%28x%2B1%29%28x-3%29%28x-4%29%29
The final answer.
EdJones