X^3+xy^2-x^2y-y^3=0

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Solution for X^3+xy^2-x^2y-y^3=0 equation: 


Simplifying
X3 + xy2 + -1x2y + -1y3 = 0

Solving
X3 + xy2 + -1x2y + -1y3 = 0

Solving for variable 'X'.

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

Add '-1xy2' to each side of the equation.
X3 + xy2 + -1x2y + -1xy2 + -1y3 = 0 + -1xy2

Reorder the terms:
X3 + xy2 + -1xy2 + -1x2y + -1y3 = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
X3 + 0 + -1x2y + -1y3 = 0 + -1xy2
X3 + -1x2y + -1y3 = 0 + -1xy2
Remove the zero:
X3 + -1x2y + -1y3 = -1xy2

Add 'x2y' to each side of the equation.
X3 + -1x2y + x2y + -1y3 = -1xy2 + x2y

Combine like terms: -1x2y + x2y = 0
X3 + 0 + -1y3 = -1xy2 + x2y
X3 + -1y3 = -1xy2 + x2y

Add 'y3' to each side of the equation.
X3 + -1y3 + y3 = -1xy2 + x2y + y3

Combine like terms: -1y3 + y3 = 0
X3 + 0 = -1xy2 + x2y + y3
X3 = -1xy2 + x2y + y3

Simplifying
X3 = -1xy2 + x2y + y3

Reorder the terms:
X3 + xy2 + -1x2y + -1y3 = -1xy2 + xy2 + x2y + -1x2y + y3 + -1y3

Combine like terms: -1xy2 + xy2 = 0
X3 + xy2 + -1x2y + -1y3 = 0 + x2y + -1x2y + y3 + -1y3
X3 + xy2 + -1x2y + -1y3 = x2y + -1x2y + y3 + -1y3

Combine like terms: x2y + -1x2y = 0
X3 + xy2 + -1x2y + -1y3 = 0 + y3 + -1y3
X3 + xy2 + -1x2y + -1y3 = y3 + -1y3

Combine like terms: y3 + -1y3 = 0
X3 + xy2 + -1x2y + -1y3 = 0

The solution to this equation could not be determined.

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