SOLUTION: Perform the indicated operation involving rational expressions. Express the final answer in simplest form. 24y^2/x^2+10x+25 divided by 36y/x^2+5x I flipped the terms and fac

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operation involving rational expressions. Express the final answer in simplest form. 24y^2/x^2+10x+25 divided by 36y/x^2+5x I flipped the terms and fac      Log On


   

Question 856430: Perform the indicated operation involving rational expressions. Express the final answer in simplest form.
24y^2/x^2+10x+25 divided by 36y/x^2+5x
I flipped the terms and factored. I got 24xy^2/36y(x+5) after cancelling.
Thank you for your help!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%2824y%5E2%2F%28x%5E2%2B10x%2B25%29%29%2F%2836y%2F%28x%5E2%2B5x%29%29
= %2824y%5E2%2F%28x%5E2%2B10x%2B25%29%29%2A%28%28x%5E2%2B5x%29%2F36y%29
= %282y%2F%28x%5E2%2B10x%2B25%29%29%2A%28%28x%5E2%2B5x%29%2F3%29
==========
= %282y%2F%28x%2B5%29%29%2A%28x%2F3%29
= 2xy%2F%283x%2B15%29
=============
Your answer is right, but more canceling can be done.