Question

Combine as indicated by the signs. Write variables alphabetically in your answer.

x-y/x+y - x+y/x-y

Answer 1

- 4xy / (x+y) (x-y)

Explanation:

Answer 2

`(-4xy)/(x^2-y^2)` is the answer

Explanation:

`(x-y)/(x+y) -(x+y)/(x-y)`

making denominator same

`((x-y)(x-y))/((x+y)(x-y)) -((x+y)(x+y))/((x-y)(x+y))`

`((x^2+y^2-2xy))/(x^2-y^2) -((x^2+y^2+2xy))/(x^2-y^2)\\(x^2+y^2-2xy-x^2-y^2-2xy)/(x^2-y^2)\\(-4xy)/(x^2-y^2)`