SOLUTION: I've been stuck on this problem for hours and its the only homework problem I can't solve on my assignment. I've tried everything even family members couldn't help me, so here it g

Algebra ->  Rational-functions -> SOLUTION: I've been stuck on this problem for hours and its the only homework problem I can't solve on my assignment. I've tried everything even family members couldn't help me, so here it g      Log On


   

Question 157139: I've been stuck on this problem for hours and its the only homework problem I can't solve on my assignment. I've tried everything even family members couldn't help me, so here it goes.
%28x%5E2%2Bxy-2y%5E2%29%2F%28x%5E3%2Bx%5E2y%29*x%2F%28x%5E2%2B3xy%2B2y%5E2%29
The directions said to perform multiplication and simplify.
Thank you tutor for taking your time to helping me.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2Bxy-2y%5E2%29%2F%28x%5E3%2Bx%5E2y%29*x%2F%28x%5E2%2B3xy%2B2y%5E2%29


Factor the left top as %28x%2B2y%29%28x-y%29

Factor the left bottom as x%5E2%28x%2By%29

Factor the right bottom as %28x%2B2y%29%28x%2By%29



%28%28x%2B2y%29%28x-y%29%29%2F%28x%5E2%28x%2By%29%29*x%2F%28%28x%2B2y%29%28x%2By%29%29



Indicate multiplication of tops and bottoms, so it

will all be just one fraction:



%28%28x%2B2y%29%28x-y%29x%29%2F%28x%5E2%28x%2By%29%28x%2B2y%29%28x%2By%29%29



Cancel the %28x%2B2y%29's







Cancel the x in the top into the x%5E2 on the bottom,

getting x on the bottom:







Now what's left is:



%28x-y%29%2F%28x%28x%2By%29%28x%2By%29%29



And %28x%2By%29%28x%2By%29 can be written as %28x%2By%29%5E2



%28x-y%29%2F%28x%28x%2By%29%5E2%29