SOLUTION: Perform the indicated operations and simplify fractions (y-2)/(y-5)-(y+1)/(y+5)+(y-35)/(y^2-25) = 8/y+5 Is this correct?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operations and simplify fractions (y-2)/(y-5)-(y+1)/(y+5)+(y-35)/(y^2-25) = 8/y+5 Is this correct?      Log On


   

Question 164761: Perform the indicated operations and simplify
fractions
(y-2)/(y-5)-(y+1)/(y+5)+(y-35)/(y^2-25)
= 8/y+5
Is this correct?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

You're answer = highlight%288%2F%28y%2B5%29%29.
We'll check it out:
%28y-2%29%2F%28y-5%29-%28y%2B1%29%2F%28y%2B5%29%2B%28y-35%29%2F%28y%5E2-25%29
%28y-2%29%2F%28y-5%29-%28y%2B1%29%2F%28y%2B5%29%2B%28y-35%29%2F%28y%2B5%29%28y-5%29
Get LCD,and perform indicated operations:
%28%28y-2%29%28y%2B5%29-%28y%2B1%29%28y-5%29%2B%28y-35%29%29%2F%28y%2B5%29%28y-5%29
Expand (multiply),
%28y%5E2%2B3y-10-%28y%5E2-4y-5%29%2By-35%29%2F%28y%2B5%29%28y-5%29
%28y%5E2%2B3y-10-y%5E2%2B4y%2B5%2By-35%29%2F%28y%2B5%29%28y-5%29
%28cross%28y%5E2%29%2B3y-10-cross%28y%5E2%29%2B4y%2B5%2By-35%29%2F%28y%2B5%29%28y-5%29
%288y-40%29%2F%28y%2B5%29%28y-5%29
8%28y-5%29%2F%28y%2B5%29%28y-5%29 ---> 8%28cross%28y-5%29%29%2F%28y%2B5%29cross%28y-5%29
highlight%288%2F%28y%2B5%29%29 ----------> CORRECT, same highlighted answer above
Thank you,
Jojo