(a^2+4b)(a^2-4b)=

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Solution for (a^2+4b)(a^2-4b)= equation:


Simplifying
(a2 + 4b)(a2 + -4b) = 0

Multiply (a2 + 4b) * (a2 + -4b)
(a2(a2 + -4b) + 4b * (a2 + -4b)) = 0
((a2 * a2 + -4b * a2) + 4b * (a2 + -4b)) = 0

Reorder the terms:
((-4a2b + a4) + 4b * (a2 + -4b)) = 0
((-4a2b + a4) + 4b * (a2 + -4b)) = 0
(-4a2b + a4 + (a2 * 4b + -4b * 4b)) = 0
(-4a2b + a4 + (4a2b + -16b2)) = 0

Reorder the terms:
(-4a2b + 4a2b + a4 + -16b2) = 0

Combine like terms: -4a2b + 4a2b = 0
(0 + a4 + -16b2) = 0
(a4 + -16b2) = 0

Solving
a4 + -16b2 = 0

Solving for variable 'a'.

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

Add '16b2' to each side of the equation.
a4 + -16b2 + 16b2 = 0 + 16b2

Combine like terms: -16b2 + 16b2 = 0
a4 + 0 = 0 + 16b2
a4 = 0 + 16b2
Remove the zero:
a4 = 16b2

Simplifying
a4 = 16b2

Combine like terms: 16b2 + -16b2 = 0
a4 + -16b2 = 0

Factor a difference between two squares.
(a2 + 4b)(a2 + -4b) = 0

Subproblem 1

Set the factor '(a2 + 4b)' equal to zero and attempt to solve: Simplifying a2 + 4b = 0 Solving a2 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. a2 + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 a2 + 0 = 0 + -4b a2 = 0 + -4b Remove the zero: a2 = -4b Simplifying a2 = -4b 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 '(a2 + -4b)' equal to zero and attempt to solve: Simplifying a2 + -4b = 0 Solving a2 + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a2 + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a2 + 0 = 0 + 4b a2 = 0 + 4b Remove the zero: a2 = 4b Simplifying a2 = 4b 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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