Question

Упростите выражение
$\frac{x-y}{x^2+xy} -\frac{x}{xy+y^2}$

Answer 1

Ответ:

y-x

Объяснение:

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

Answer 2

Объяснение:

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