3a^2(ab^2-b^2)=

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Solution for 3a^2(ab^2-b^2)= equation:


Simplifying
3a2(ab2 + -1b2) = 0
(ab2 * 3a2 + -1b2 * 3a2) = 0

Reorder the terms:
(-3a2b2 + 3a3b2) = 0
(-3a2b2 + 3a3b2) = 0

Solving
-3a2b2 + 3a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2b2'.
3a2b2(-1 + a) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 0 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 '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 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 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1

Solution

a = {1}

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