Question

Ayudenme con la solución

Answer 1

$\frac{ \frac{1}{y} + \frac{1}{xy} }{1 + \frac{1}{xy} } + \frac{y + 1}{y + \frac{1}{x} } - 1 \\ = \frac{ \frac{x + 1}{xy} }{ \frac{xy + 1}{xy} } + \frac{y + 1}{ \frac{xy + 1}{x} } - 1 \\ = \frac{x + 1}{xy + 1} + \frac{(y + 1)x}{xy + 1} - 1 \\ = \frac{x + 1}{xy + 1} + \frac{xy + y}{xy + 1} - 1 \\ = \frac{x + 1 + xy + x - (xy + 1)}{xy + 1} \\ = \frac{x + 1 + xy + x - xy - 1}{xy + 1} \\ = \frac{2x}{xy + 1}$