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

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

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

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

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

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

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

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

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

Solving
x3 + y3 = 0

Solving for variable 'x'.

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

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

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

Simplifying
x3 = -1y3

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

The solution to this equation could not be determined.