Verified answer

2/x + y........x

------------- x -----------

.2/x - y.........x

..... 2 + xy

= ---------------- answer//

.......2 - xy

another possible solution

..2/(x + y)

------------------

....2/(x - y)

.......2..............x - y

= ------------- x --------------

....x + y.............2

......x - y

=--------------- answer//

.....x + y

Dividing a fraction by another fraction is the same as multiplying by the inverse of the denominator.

So, (2 / x+y) / (2 / x-y) is the same as (2 / x+y) muliplied by (x-y / 2) <--- (2 / x-y inverted)

When we multiply the two fractions we get,

(2 / x+y)(x-y / 2) = (2x - 2y) / (2x + 2y)

Divide top and bottom by 2,

x - y / x + y <--- There's your answer.

Question is incorrect due to lack of brackets.

Any attempt at an answer is therefore just a guess.

(x-y)/(x+y)