SOLUTION: 1 over x - 1 over y over 1 over x + 1 over y That's the origional problem. I go the answer (x-y)over (x+y) But that's wrong. Can you help me out?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1 over x - 1 over y over 1 over x + 1 over y That's the origional problem. I go the answer (x-y)over (x+y) But that's wrong. Can you help me out?       Log On


   

Question 644233: 1 over x - 1 over y
over
1 over x + 1 over y
That's the origional problem. I go the answer (x-y)over (x+y) But that's wrong. Can you help me out?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Fx+-+1%2Fy%29%2F%281%2Fx+%2B+1%2Fy%29

%28%281%2Ay+-+1%2Ax%29%2Fxy%29%2F%28%281%2Ay+%2B+1%2Ax%29%2Fxy%29

%28%28y+-+x%29%2Fcross%28xy%29%29%2F%28%28y+%2B+x%29%2Fcross%28xy%29%29

%28y+-+x%29%2F%28y+%2B+x%29 .....that is different than your result %28x-y%29%2F%28x%2By%29

all you can do now is to rearrange terms

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

-%28x-y%29%2F%28x+%2B+y%29