Question

(x+y)(x-xy+y)+(x-y)(x+xy+y)

Answer 1

Ответ:

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

Пошаговое объяснение:

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