Question

Докажите тождество
(x + y)³(x – y)² = x(x² – y²)² + y(x² – y²)²

Answer 1

( x + y)^3(x - y)^2 = (x^2 - y^2)^2(x + y)
(x+ y)(x + y)^2(x - y)^2 = (x^2 - y^2)^2(x + y)
(x^2 - y^2)^2(x + y) = (x^2 - y^2)^2(x+ y) - верно,тождество доказано.