Question

Спростіть вираз,срочно допоможіть​

Answer 1

$\displaystyle \frac{y}{x-y}-\frac{x^3-xy^2}{x^2+y^2}(\frac{x}{(x-y)^2}-\frac{y}{x^2-y^2})=\frac{y}{x-y}-\frac{x(x^2-y^2)}{x^2+y^2}(\frac{x}{(x-y)^2}-\frac{y}{(x-y)(x+y)})=\\\frac{y}{x-y}-\frac{x(x-y)(x+y)}{x^2+y^2}*\frac{x(x+)-y(x-y)}{(x-y)^2(x+y)}=\frac{y}{x-y}-\frac{x}{x^2+y^2}*\frac{x^2+xy-xy+y^2}{x-y}=\\\frac{y}{x-y}-\frac{x}{x^2+y^2}*\frac{x^2+y^2}{x-y}=\frac{y}{x-y}-x*\frac{1}{x-y}=\frac{y}{x-y}-\frac{x}{x-y}=\frac{y-x}{x-y}=\\\frac{-(x-y)}{x-y}=-1$