Question

Решите пожалуйста на фото

Answer 1

$( \frac{x - 1}{x + 1} + \frac{x + 1}{ x- 1} ) \div \frac{4 {x}^{2} + 4}{ {x}^{2} - 2x + 1} = \frac{(x - 1)^{2} + (x + 1)^{2} }{(x - 1)(x + 1)} \div \frac{4( {x}^{2} + 1) }{(x - 1)^{2} } = \frac{ {x}^{2} - 2x + 1 + {x}^{2} + 2x + 1}{(x - 1)(x + 1)} \times \frac{ {(x - 1)}^{2} }{4( {x}^{2} + 1)} = \frac{2 {x}^{2} + 2}{x + 1} \times \frac{x - 1}{4( {x}^{2} + 1)} = \frac{x - 1}{2(x + 1)}$