Question

Al desarrollar la siguiente resta
$\frac{x + y}{x - y} - \frac{x - y}{x + y}$
se obtiene:​

Answer 1

Respuesta:

$\frac{x + y}{x - y} - \frac{x - y}{x + y} \\ = \frac{(x + y) ^{2} - ({x - y})^{2} }{(x - y)(x + y)} \\ = \frac{ {x}^{2} + 2xy + {y}^2 - x^{2} + 2xy - {y}^{2} }{(x - y)(x + y)} \\ = \frac{4xy}{(x - y)(x + y)}$