Question

ПОЖАЛУЙСТА СРОЧНО!!!!!!!!ПОМОГИТЕ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ВЫДЕЛЕННОЕ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!БАЛЛОВ МНОГО!!!!!!!!!!!!!!!!!!!

Answer 1

а)
$\frac{1 - x}{ {x}^{2} - xy} - \frac{y - 1}{ {y}^{2} - xy} = \frac{1 - x}{x(x -y)} - \frac{y - 1}{y(y - x)} = \frac{1 - x}{x(x - y)} - \frac{1 - y}{y(x - y)} = \frac{y(1 - x) - x(1 - y)}{xy(x - y)} = \frac{y - xy - x + xy}{xy(x - y)} = \frac{y - x}{xy(x - y)} = \frac{ - (x - y)}{xy(x - y)} = - \frac{1}{xy}$
б)
$\frac{p - q}{2 {p}^{2} + 2pq } + \frac{2q}{ { p}^{2} - {q}^{2} } = \frac{p - q}{2p(p + q)} + \frac{2q}{(p - q)(p + q)} = \frac{ {(p - q)}^{2} + 2q \times 2p }{2p(p - q)(p + q)} = \frac{ {p}^{2} - 2pq + {q}^{2} + 4pq }{2p(p - q)(p + q)} = \frac{ {p}^{2} + 2pq + {q}^{2} }{2p(p - q)(p + q)} = \frac{ {(p + q)}^{2} }{2p(p - q)(p + q)} = \frac{p + q}{2p(p - q)}$

Answer 2

Решение прикреплено. Удачи