SOLUTION: simplify completely 1/x + 1/y Divided by 1/X^2 - 1/y^2 I got it broken down into xy^2 + yx^2/y^2 - x^2 but wasnt sure if that was right and where to go from there

Algebra ->  Equations -> SOLUTION: simplify completely 1/x + 1/y Divided by 1/X^2 - 1/y^2 I got it broken down into xy^2 + yx^2/y^2 - x^2 but wasnt sure if that was right and where to go from there      Log On


   

Question 305420: simplify completely
1/x + 1/y
Divided by
1/X^2 - 1/y^2
I got it broken down into xy^2 + yx^2/y^2 - x^2 but wasnt sure if that was right and where to go from there
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If you meant



Then



is exactly correct. Next note that you have the difference of two squares in the denominator and that you can factor an out of the numerator:



Now, eliminate the common factor of leaving you with:



On the other hand, if what you meant was exactly what you wrote, namely:



where and are two different variables, then your simplified expression would be:




John