1-a^6b^6=

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Solution for 1-a^6b^6= equation:


Simplifying
1 + -1a6b6 = 0

Solving
1 + -1a6b6 = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + -1a6b6 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a6b6 = 0 + -1
-1a6b6 = 0 + -1

Combine like terms: 0 + -1 = -1
-1a6b6 = -1

Divide each side by '-1b6'.
a6 = b-6

Simplifying
a6 = b-6

Combine like terms: b-6 + -1b-6 = 0
a6 + -1b-6 = 0

Factor out the Greatest Common Factor (GCF), 'b-6'.
b-6(a6b6 + -1) = 0

Factor a difference between two squares.
b-6((a3b3 + 1)(a3b3 + -1)) = 0

Subproblem 1

Set the factor 'b-6' equal to zero and attempt to solve: Simplifying b-6 = 0 Solving b-6 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-6' to each side of the equation. b-6 + -1b-6 = 0 + -1b-6 Remove the zero: 0 = -1b-6 Simplifying 0 = -1b-6 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 '(a3b3 + 1)' equal to zero and attempt to solve: Simplifying a3b3 + 1 = 0 Reorder the terms: 1 + a3b3 = 0 Solving 1 + a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a3b3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a3b3 = 0 + -1 a3b3 = 0 + -1 Combine like terms: 0 + -1 = -1 a3b3 = -1 Divide each side by 'b3'. a3 = -1b-3 Simplifying a3 = -1b-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(a3b3 + -1)' equal to zero and attempt to solve: Simplifying a3b3 + -1 = 0 Reorder the terms: -1 + a3b3 = 0 Solving -1 + a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a3b3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a3b3 = 0 + 1 a3b3 = 0 + 1 Combine like terms: 0 + 1 = 1 a3b3 = 1 Divide each side by 'b3'. a3 = b-3 Simplifying a3 = b-3 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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