=(x-y)(x-y)(x-y)

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Solution for =(x-y)(x-y)(x-y) equation: 


Simplifying
0 = (x + -1y)(x + -1y)(x + -1y)

Multiply (x + -1y) * (x + -1y)
0 = (x(x + -1y) + -1y * (x + -1y))(x + -1y)
0 = ((x * x + -1y * x) + -1y * (x + -1y))(x + -1y)

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

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

Combine like terms: -1xy + -1xy = -2xy
0 = (-2xy + x2 + 1y2)(x + -1y)

Multiply (-2xy + x2 + 1y2) * (x + -1y)
0 = (-2xy * (x + -1y) + x2(x + -1y) + 1y2 * (x + -1y))
0 = ((x * -2xy + -1y * -2xy) + x2(x + -1y) + 1y2 * (x + -1y))

Reorder the terms:
0 = ((2xy2 + -2x2y) + x2(x + -1y) + 1y2 * (x + -1y))
0 = ((2xy2 + -2x2y) + x2(x + -1y) + 1y2 * (x + -1y))
0 = (2xy2 + -2x2y + (x * x2 + -1y * x2) + 1y2 * (x + -1y))

Reorder the terms:
0 = (2xy2 + -2x2y + (-1x2y + x3) + 1y2 * (x + -1y))
0 = (2xy2 + -2x2y + (-1x2y + x3) + 1y2 * (x + -1y))
0 = (2xy2 + -2x2y + -1x2y + x3 + (x * 1y2 + -1y * 1y2))
0 = (2xy2 + -2x2y + -1x2y + x3 + (1xy2 + -1y3))

Reorder the terms:
0 = (2xy2 + 1xy2 + -2x2y + -1x2y + x3 + -1y3)

Combine like terms: 2xy2 + 1xy2 = 3xy2
0 = (3xy2 + -2x2y + -1x2y + x3 + -1y3)

Combine like terms: -2x2y + -1x2y = -3x2y
0 = (3xy2 + -3x2y + x3 + -1y3)

Solving
0 = 3xy2 + -3x2y + x3 + -1y3

Solving for variable 'x'.
Remove the zero:
-3xy2 + 3x2y + -1x3 + y3 = 3xy2 + -3x2y + x3 + -1y3 + -3xy2 + 3x2y + -1x3 + y3

Reorder the terms:
-3xy2 + 3x2y + -1x3 + y3 = 3xy2 + -3xy2 + -3x2y + 3x2y + x3 + -1x3 + -1y3 + y3

Combine like terms: 3xy2 + -3xy2 = 0
-3xy2 + 3x2y + -1x3 + y3 = 0 + -3x2y + 3x2y + x3 + -1x3 + -1y3 + y3
-3xy2 + 3x2y + -1x3 + y3 = -3x2y + 3x2y + x3 + -1x3 + -1y3 + y3

Combine like terms: -3x2y + 3x2y = 0
-3xy2 + 3x2y + -1x3 + y3 = 0 + x3 + -1x3 + -1y3 + y3
-3xy2 + 3x2y + -1x3 + y3 = x3 + -1x3 + -1y3 + y3

Combine like terms: x3 + -1x3 = 0
-3xy2 + 3x2y + -1x3 + y3 = 0 + -1y3 + y3
-3xy2 + 3x2y + -1x3 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
-3xy2 + 3x2y + -1x3 + y3 = 0

The solution to this equation could not be determined.

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