(a^2b-8)(a^2b+8)=

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Solution for (a^2b-8)(a^2b+8)= equation: 


Simplifying
(a2b + -8)(a2b + 8) = 0

Reorder the terms:
(-8 + a2b)(a2b + 8) = 0

Reorder the terms:
(-8 + a2b)(8 + a2b) = 0

Multiply (-8 + a2b) * (8 + a2b)
(-8(8 + a2b) + a2b(8 + a2b)) = 0
((8 * -8 + a2b * -8) + a2b(8 + a2b)) = 0
((-64 + -8a2b) + a2b(8 + a2b)) = 0
(-64 + -8a2b + (8 * a2b + a2b * a2b)) = 0
(-64 + -8a2b + (8a2b + a4b2)) = 0

Combine like terms: -8a2b + 8a2b = 0
(-64 + 0 + a4b2) = 0
(-64 + a4b2) = 0

Solving
-64 + a4b2 = 0

Solving for variable 'a'.

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

Add '64' to each side of the equation.
-64 + 64 + a4b2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + a4b2 = 0 + 64
a4b2 = 0 + 64

Combine like terms: 0 + 64 = 64
a4b2 = 64

Divide each side by 'b2'.
a4 = 64b-2

Simplifying
a4 = 64b-2

Combine like terms: 64b-2 + -64b-2 = 0
a4 + -64b-2 = 0

Factor out the Greatest Common Factor (GCF), 'b-2'.
b-2(a4b2 + -64) = 0

Factor a difference between two squares.
b-2((a2b + 8)(a2b + -8)) = 0


Subproblem 1
Set the factor 'b-2' equal to zero and attempt to solve:

Simplifying
b-2 = 0

Solving
b-2 = 0

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

Add '-1b-2' to each side of the equation.
b-2 + -1b-2 = 0 + -1b-2
Remove the zero:
0 = -1b-2

Simplifying
0 = -1b-2

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 '(a2b + 8)' equal to zero and attempt to solve:

Simplifying
a2b + 8 = 0

Reorder the terms:
8 + a2b = 0

Solving
8 + a2b = 0

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

Add '-8' to each side of the equation.
8 + -8 + a2b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a2b = 0 + -8
a2b = 0 + -8

Combine like terms: 0 + -8 = -8
a2b = -8

Divide each side by 'b'.
a2 = -8b-1

Simplifying
a2 = -8b-1

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 '(a2b + -8)' equal to zero and attempt to solve:

Simplifying
a2b + -8 = 0

Reorder the terms:
-8 + a2b = 0

Solving
-8 + a2b = 0

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

Add '8' to each side of the equation.
-8 + 8 + a2b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + a2b = 0 + 8
a2b = 0 + 8

Combine like terms: 0 + 8 = 8
a2b = 8

Divide each side by 'b'.
a2 = 8b-1

Simplifying
a2 = 8b-1

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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