(x-y)(x^2+xy+y^2)=

Solution for (x-y)(x^2+xy+y^2)= equation:

Simplifying
(x + -1y)(x2 + xy + y2) = 0

Reorder the terms:
(x + -1y)(xy + x2 + y2) = 0

Multiply (x + -1y) * (xy + x2 + y2)
(x(xy + x2 + y2) + -1y * (xy + x2 + y2)) = 0
((xy * x + x2 * x + y2 * x) + -1y * (xy + x2 + y2)) = 0

Reorder the terms:
((xy2 + x2y + x3) + -1y * (xy + x2 + y2)) = 0
((xy2 + x2y + x3) + -1y * (xy + x2 + y2)) = 0
(xy2 + x2y + x3 + (xy * -1y + x2 * -1y + y2 * -1y)) = 0
(xy2 + x2y + x3 + (-1xy2 + -1x2y + -1y3)) = 0

Reorder the terms:
(xy2 + -1xy2 + x2y + -1x2y + x3 + -1y3) = 0

Combine like terms: xy2 + -1xy2 = 0
(0 + x2y + -1x2y + x3 + -1y3) = 0
(x2y + -1x2y + x3 + -1y3) = 0

Combine like terms: x2y + -1x2y = 0
(0 + x3 + -1y3) = 0
(x3 + -1y3) = 0

Solving
x3 + -1y3 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y3' to each side of the equation.
x3 + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
x3 + 0 = 0 + y3
x3 = 0 + y3
Remove the zero:
x3 = y3

Simplifying
x3 = y3

Combine like terms: y3 + -1y3 = 0
x3 + -1y3 = 0

The solution to this equation could not be determined.