Question

Please help with 12. Simplify.

Answer 1

`\frac 1{x+y} + (3)/(x-y) + (2)/(x^2-y^2) \\\\\\=\frac 1{x+y} + (3)/(x-y) + (2)/((x+y)(x-y))\\ \\\\=(x-y+3(x+y)+2)/((x+y)(x-y))\\\\\\=(x-y+3x+3y+2)/((x+y)(x-y))\\\\\\=(4x+2y+2)/((x+y)(x-y))\\\\\\=(2(2x+y+1))/((x+y)(x-y))`