a^3b^6-b^3=

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Solution for a^3b^6-b^3= equation:


Simplifying
a3b6 + -1b3 = 0

Solving
a3b6 + -1b3 = 0

Solving for variable 'a'.

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

Add 'b3' to each side of the equation.
a3b6 + -1b3 + b3 = 0 + b3

Combine like terms: -1b3 + b3 = 0
a3b6 + 0 = 0 + b3
a3b6 = 0 + b3
Remove the zero:
a3b6 = b3

Divide each side by 'b6'.
a3 = b-3

Simplifying
a3 = b-3

Combine like terms: b-3 + -1b-3 = 0
a3 + -1b-3 = 0

Factor out the Greatest Common Factor (GCF), 'b-3'.
b-3(a3b3 + -1) = 0

Subproblem 1

Set the factor 'b-3' equal to zero and attempt to solve: Simplifying b-3 = 0 Solving b-3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-3' to each side of the equation. b-3 + -1b-3 = 0 + -1b-3 Remove the zero: 0 = -1b-3 Simplifying 0 = -1b-3 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 = 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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