Question

(x^2 2xy y^2)/(x^2-y^2 ):(x y)

Answer 1

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

Answer 2

$frac{x^2+2xy+y^2}{x^2-y^2}:xy=frac{(x+y)^2}{(x-y)(x+y)}cdot frac{1}{xy}=frac{x+y}{xy(x-y)}$