=(x+y)(x+y)(x+y)

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3xy2 + 3x2y + x3 + y3) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3xy2 + 3x2y + x3 + y3)' equal to zero and attempt to solve:

Simplifying
3xy2 + 3x2y + x3 + y3 = 0

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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