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

Question

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

Answer 1

`(x)/(x-y)+(y)/(x+y)=(x(x+y))/((x-y)(x+y))+(y(x-y))/((x-y)(x+y))\\\\=(x^2+xy+xy-y^2)/((x-y)(x+y))=(x^2+2xy-y^2)/(x^2-y^2)\\\\Used:\ a^2-b^2=(a-b)(a+b)`