Question

Выполните действия, заранее спасибо

Answer 1

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