SOLUTION: Perform operation and simplify. I need to know how to set this equation up and solve it. x^2-6x+8/x^2-17x+70 . x^2-15x+56/x^2-15x+44

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform operation and simplify. I need to know how to set this equation up and solve it. x^2-6x+8/x^2-17x+70 . x^2-15x+56/x^2-15x+44      Log On


   



Question 90969: Perform operation and simplify. I need to know how to set this equation up and solve it.
x^2-6x+8/x^2-17x+70 . x^2-15x+56/x^2-15x+44

Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
First of all, factorise the expressions wherever possible and then start simplifying by cancelling/factoring. Now coming to the problem, you can factorise all the expressions (numerators & denominators). I think you know how to factorise.

%28x%5E2-6x%2B8%29%2F%28x%5E2-17x%2B70%29*%28x%5E2-15x%2B56%29%2F%28x%5E2-15x%2B44%29 = %28x-4%29%28x-2%29%2F%28x-10%29%28x-7%29*%28%28x-8%29%28x-7%29%29%2F%28%28x-11%29%28x-4%29%29 = cross%28%28x-4%29%29%28x-2%29%2F%28x-10%29cross%28%28x-7%29%29*%28x-8%29cross%28%28x-7%29%29%2F%28x-11%29cross%28%28x-4%29%29 = %28x-2%29%28x-8%29%2F%28x-10%29%28x-11%29++=++%28x%5E2-10x%2B16%29%2F%28x%5E2-21x%2B110%29 Answer.
I think this is clear to you now. If not, feel free to contact me anytime. All the best.
gsm