(x^5+y^4)(x^5-y^4)=

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Solution for (x^5+y^4)(x^5-y^4)= equation: 


Simplifying
(x5 + y4)(x5 + -1y4) = 0

Multiply (x5 + y4) * (x5 + -1y4)
(x5(x5 + -1y4) + y4(x5 + -1y4)) = 0
((x5 * x5 + -1y4 * x5) + y4(x5 + -1y4)) = 0

Reorder the terms:
((-1x5y4 + x10) + y4(x5 + -1y4)) = 0
((-1x5y4 + x10) + y4(x5 + -1y4)) = 0
(-1x5y4 + x10 + (x5 * y4 + -1y4 * y4)) = 0
(-1x5y4 + x10 + (x5y4 + -1y8)) = 0

Reorder the terms:
(-1x5y4 + x5y4 + x10 + -1y8) = 0

Combine like terms: -1x5y4 + x5y4 = 0
(0 + x10 + -1y8) = 0
(x10 + -1y8) = 0

Solving
x10 + -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.
x10 + -1y8 + y8 = 0 + y8

Combine like terms: -1y8 + y8 = 0
x10 + 0 = 0 + y8
x10 = 0 + y8
Remove the zero:
x10 = y8

Simplifying
x10 = y8

Combine like terms: y8 + -1y8 = 0
x10 + -1y8 = 0

Factor a difference between two squares.
(x5 + y4)(x5 + -1y4) = 0


Subproblem 1
Set the factor '(x5 + y4)' equal to zero and attempt to solve:

Simplifying
x5 + y4 = 0

Solving
x5 + y4 = 0

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

Add '-1y4' to each side of the equation.
x5 + y4 + -1y4 = 0 + -1y4

Combine like terms: y4 + -1y4 = 0
x5 + 0 = 0 + -1y4
x5 = 0 + -1y4
Remove the zero:
x5 = -1y4

Simplifying
x5 = -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 '(x5 + -1y4)' equal to zero and attempt to solve:

Simplifying
x5 + -1y4 = 0

Solving
x5 + -1y4 = 0

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

Add 'y4' to each side of the equation.
x5 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
x5 + 0 = 0 + y4
x5 = 0 + y4
Remove the zero:
x5 = y4

Simplifying
x5 = 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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