Question

Выражение 2x+2y y^2-x^2 10x : - y 5y^2 y+x

Answer 1

$\frac{2x+2y}{y} : \frac{ x^{2} - y^{2} }{5y^{2} }- \frac{10x}{y+x}= \frac{2(x+y)}{y} * \frac{5 y^{2} }{(x-y)(x+y)} - \frac{10x}{y+x}= \frac{10y}{x-y} - \frac{10x}{y+x}= \\ \\ \frac{10(x+y)-10(x-y)}{(x-y)(x+y)}= \frac{10x+10y-10x+10y}{ x^{2}-y^{2} } = \frac{20y}{ x^{2} - y^{2} }$