(x^3+y^4)(x^3-y^4)=

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Solution for (x^3+y^4)(x^3-y^4)= equation: 


Simplifying
(x3 + y4)(x3 + -1y4) = 0

Multiply (x3 + y4) * (x3 + -1y4)
(x3(x3 + -1y4) + y4(x3 + -1y4)) = 0
((x3 * x3 + -1y4 * x3) + y4(x3 + -1y4)) = 0

Reorder the terms:
((-1x3y4 + x6) + y4(x3 + -1y4)) = 0
((-1x3y4 + x6) + y4(x3 + -1y4)) = 0
(-1x3y4 + x6 + (x3 * y4 + -1y4 * y4)) = 0
(-1x3y4 + x6 + (x3y4 + -1y8)) = 0

Reorder the terms:
(-1x3y4 + x3y4 + x6 + -1y8) = 0

Combine like terms: -1x3y4 + x3y4 = 0
(0 + x6 + -1y8) = 0
(x6 + -1y8) = 0

Solving
x6 + -1y8 = 0

Solving for variable 'x'.

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

Add 'y8' to each side of the equation.
x6 + -1y8 + y8 = 0 + y8

Combine like terms: -1y8 + y8 = 0
x6 + 0 = 0 + y8
x6 = 0 + y8
Remove the zero:
x6 = y8

Simplifying
x6 = y8

Combine like terms: y8 + -1y8 = 0
x6 + -1y8 = 0

Factor a difference between two squares.
(x3 + y4)(x3 + -1y4) = 0


Subproblem 1
Set the factor '(x3 + y4)' equal to zero and attempt to solve:

Simplifying
x3 + y4 = 0

Solving
x3 + y4 = 0

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

Add '-1y4' to each side of the equation.
x3 + y4 + -1y4 = 0 + -1y4

Combine like terms: y4 + -1y4 = 0
x3 + 0 = 0 + -1y4
x3 = 0 + -1y4
Remove the zero:
x3 = -1y4

Simplifying
x3 = -1y4

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(x3 + -1y4)' equal to zero and attempt to solve:

Simplifying
x3 + -1y4 = 0

Solving
x3 + -1y4 = 0

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

Add 'y4' to each side of the equation.
x3 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
x3 + 0 = 0 + y4
x3 = 0 + y4
Remove the zero:
x3 = y4

Simplifying
x3 = y4

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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