Question

Fração algébrica:
$\frac{x}{x - y} + \frac{2y ^{2} }{ x^{2} - y^{2} } + \frac{y}{x+y}$

Answer 1

$\frac{x}{x-y} + \frac{2 y^{2} }{(x-y)(x+y)} + \frac{y}{x+y} \\ \\ \frac{x(x+y)+2 y^{2}+y(x-y) }{(x-y)(x+y)} \\ \\ \frac{ x^{2} +xy+2 y^{2}+xy- y^{2} }{(x-y)(x+y)} \\ \\ \frac{ x^{2} +2xy+ y^{2}}{(x-y)(x+y)} \\ \\ \frac{ (x+y)^{2} }{(x-y)(x+y)} \\ \\ \frac{x+y}{x-y}$