a^6n-b^6n=

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Solution for a^6n-b^6n= equation: 


Simplifying
a6n + -1b6n = 0

Solving
a6n + -1b6n = 0

Solving for variable 'a'.

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

Add 'b6n' to each side of the equation.
a6n + -1b6n + b6n = 0 + b6n

Combine like terms: -1b6n + b6n = 0
a6n + 0 = 0 + b6n
a6n = 0 + b6n
Remove the zero:
a6n = b6n

Divide each side by 'n'.
a6 = b6

Simplifying
a6 = b6

Combine like terms: b6 + -1b6 = 0
a6 + -1b6 = 0

Factor a difference between two squares.
(a3 + b3)(a3 + -1b3) = 0


Subproblem 1
Set the factor '(a3 + b3)' equal to zero and attempt to solve:

Simplifying
a3 + b3 = 0

Solving
a3 + b3 = 0

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

Add '-1b3' to each side of the equation.
a3 + b3 + -1b3 = 0 + -1b3

Combine like terms: b3 + -1b3 = 0
a3 + 0 = 0 + -1b3
a3 = 0 + -1b3
Remove the zero:
a3 = -1b3

Simplifying
a3 = -1b3

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 '(a3 + -1b3)' equal to zero and attempt to solve:

Simplifying
a3 + -1b3 = 0

Solving
a3 + -1b3 = 0

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

Add 'b3' to each side of the equation.
a3 + -1b3 + b3 = 0 + b3

Combine like terms: -1b3 + b3 = 0
a3 + 0 = 0 + b3
a3 = 0 + b3
Remove the zero:
a3 = b3

Simplifying
a3 = b3

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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