Question

Разложить на множители (X-y)^2-(x-y)(x+y)/x^2-xy^2

Answer 1

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

Answer 2

[(x-y)²-(x-y)(x+y)]/(x²-xy²)=(x-y)(x-y-x-y)/[x(x-y²)]=(x-y)(-2y)/(x²-xy²)=
=(2y²-2xy)/(x²-xy²)