Question

Спростіть вираз xy/(y-x)+y^2/(x-y)

Answer 1

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

Answer 2

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