Question

(x2 +y) (x + y2) = ( x + y)3

Answer 1

$x^3+y^3 + x^2y^2+xy=x^3+y^3+3x^2y+3xy^2\\\\Let\ x \neq 0,\ y \neq 0\\\\xy+1=3x+3y\\\\y=\frac{3x-1}{x-3}$