Question

PLZ HELPP!!!

Combine as indicated by the signs. Write variables alphabetically in your answer.
(x-y/x+y) - (x+y/x-y)

Answer 1

Given that:
`(x-y)/(x+y) - (x+y)/(x-y)`

Take LCM of x+y and x-y is,
`x^2-y^2`

then;

`((x-y)^2 -(x+y)^2)/(x^2-y^2)`

Using the identities rule:

`(a+b)^2 = a^2+2ab+b^2`

`((x^2-2xy+y^2)-(x^2+2xy+y^2))/(x^2-y^2) = (x^2-2xy+y^2-x^2-2xy-y^2)/(x^2-y^2)`

Combine like terms;

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

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