SOLUTION: Please solve the following math problem. Also, to help me better understand the concept include details of how you came to your answer. x+3/x^2+x-2 + 2/x^2-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please solve the following math problem. Also, to help me better understand the concept include details of how you came to your answer. x+3/x^2+x-2 + 2/x^2-1       Log On


   

Question 608899: Please solve the following math problem. Also, to help me better understand the concept include details of how you came to your answer.
x+3/x^2+x-2 + 2/x^2-1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is
%28x%2B3%29%2F%28x%5E2%2Bx-2%29 + 2%2F%28x%5E2-1%29
We can factor both denominators
%28x%2B3%29%2F%28%28x%2B2%29%28x-1%29%29 + 2%2F%28%28x-1%29%28x%2B1%29%29
Common denominator is (x+2)(x-1)(x+1), multiply, combine like terms
%28%28x%2B1%29%28x%2B3%29+%2B+2%28x%2B2%29%29%2F%28%28x%2B2%29%28x-1%29%28x%2B1%29%29 = %28%28x%5E2%2B4x%2B3%29+%2B+2x%2B4%29%2F%28%28x%2B2%29%28x-1%29%28x%2B1%29%29 = %28x%5E2%2B6x%2B7%29%2F%28%28x%2B2%29%28x-1%29%28x%2B1%29%29