x per x+y + y per x-y Bagaimana cra penyelesaiannya?

[tex] \frac{x}{x + y} + \frac{y}{x - y} \\ = \frac{x}{(x + y)(x - y)} + \frac{y}{(x + y)(x - y)} \\ = \frac{x(x - y)}{(x + y)(x - y)} + \frac{y( x + y)}{(x + y)(x - y)} \\ = \frac{ {x}^{2} - xy }{(x + y)(x - y)} + \frac{yx + {y}^{2} }{(x + y)(x - y)} \\ = \frac{ {x}^{2} - xy + xy + {y}^{2} }{(x + y)(x - y)} \\ = \frac{ {x}^{2} + {y}^{2} }{( x + y)(x - y)} [/tex]
smoga membantuu:D