4a^4b^4-16x^2y^2=

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Solution for 4a^4b^4-16x^2y^2= equation:


Simplifying
4a4b4 + -16x2y2 = 0

Solving
4a4b4 + -16x2y2 = 0

Solving for variable 'a'.

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

Add '16x2y2' to each side of the equation.
4a4b4 + -16x2y2 + 16x2y2 = 0 + 16x2y2

Combine like terms: -16x2y2 + 16x2y2 = 0
4a4b4 + 0 = 0 + 16x2y2
4a4b4 = 0 + 16x2y2
Remove the zero:
4a4b4 = 16x2y2

Divide each side by '4b4'.
a4 = 4b-4x2y2

Simplifying
a4 = 4b-4x2y2

Combine like terms: 4b-4x2y2 + -4b-4x2y2 = 0
a4 + -4b-4x2y2 = 0

Factor a difference between two squares.
(a2 + 2b-2xy)(a2 + -2b-2xy) = 0

Subproblem 1

Set the factor '(a2 + 2b-2xy)' equal to zero and attempt to solve: Simplifying a2 + 2b-2xy = 0 Solving a2 + 2b-2xy = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b-2xy' to each side of the equation. a2 + 2b-2xy + -2b-2xy = 0 + -2b-2xy Combine like terms: 2b-2xy + -2b-2xy = 0 a2 + 0 = 0 + -2b-2xy a2 = 0 + -2b-2xy Remove the zero: a2 = -2b-2xy Simplifying a2 = -2b-2xy 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 + -2b-2xy)' equal to zero and attempt to solve: Simplifying a2 + -2b-2xy = 0 Solving a2 + -2b-2xy = 0 Move all terms containing a to the left, all other terms to the right. Add '2b-2xy' to each side of the equation. a2 + -2b-2xy + 2b-2xy = 0 + 2b-2xy Combine like terms: -2b-2xy + 2b-2xy = 0 a2 + 0 = 0 + 2b-2xy a2 = 0 + 2b-2xy Remove the zero: a2 = 2b-2xy Simplifying a2 = 2b-2xy 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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