SOLUTION: x^2+10x-11 / x^2-1 * x^2-1/x+11

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^2+10x-11 / x^2-1 * x^2-1/x+11      Log On


   

Question 34444: x^2+10x-11 / x^2-1 * x^2-1/x+11
Answer by dimndskier(8) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming you problem really looks like this (in the future use parenthesis to establish the groups of expressions it helps for interpreting the problem correctly.)

+%28%28x%5E2%2B10x-11%29+%2F+%28x%5E2-1%29%29++%2A++%28%28x%5E2-1%29%2F%28x%2B11%29%29+
The +x%5E2+-1+ expressions in the denominator and numerator of each fraction allow for easy reduction to this:

+%28x%5E2%2B10x-11%29%2F%28x%2B11%29+
Factor the numerator expression and reduce the overall answer...
+%28x%5E2%2B10x-11%29+=+%28x%2B11%29%2A%28x-1%29+

Therefore +%28x%5E2%2B10x-11%29%2F%28x%2B11%29+ = +%28x%2B11%29%2A%28x-1%29%2F%28x%2B11%29+ = +x%2B1+