Question

помогите пожалуйста ​

Answer 1

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