(3a^2+xy)(3a^2-3xy)=

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Solution for (3a^2+xy)(3a^2-3xy)= equation: 


Simplifying
(3a2 + xy)(3a2 + -3xy) = 0

Multiply (3a2 + xy) * (3a2 + -3xy)
(3a2 * (3a2 + -3xy) + xy(3a2 + -3xy)) = 0
((3a2 * 3a2 + -3xy * 3a2) + xy(3a2 + -3xy)) = 0

Reorder the terms:
((-9a2xy + 9a4) + xy(3a2 + -3xy)) = 0
((-9a2xy + 9a4) + xy(3a2 + -3xy)) = 0
(-9a2xy + 9a4 + (3a2 * xy + -3xy * xy)) = 0
(-9a2xy + 9a4 + (3a2xy + -3x2y2)) = 0

Reorder the terms:
(-9a2xy + 3a2xy + 9a4 + -3x2y2) = 0

Combine like terms: -9a2xy + 3a2xy = -6a2xy
(-6a2xy + 9a4 + -3x2y2) = 0

Solving
-6a2xy + 9a4 + -3x2y2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2a2xy + 3a4 + -1x2y2) = 0

Factor a trinomial.
3((a2 + -1xy)(3a2 + xy)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(a2 + -1xy)' equal to zero and attempt to solve:

Simplifying
a2 + -1xy = 0

Solving
a2 + -1xy = 0

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

Add 'xy' to each side of the equation.
a2 + -1xy + xy = 0 + xy

Combine like terms: -1xy + xy = 0
a2 + 0 = 0 + xy
a2 = 0 + xy
Remove the zero:
a2 = xy

Simplifying
a2 = xy

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 '(3a2 + xy)' equal to zero and attempt to solve:

Simplifying
3a2 + xy = 0

Solving
3a2 + xy = 0

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

Add '-1xy' to each side of the equation.
3a2 + xy + -1xy = 0 + -1xy

Combine like terms: xy + -1xy = 0
3a2 + 0 = 0 + -1xy
3a2 = 0 + -1xy
Remove the zero:
3a2 = -1xy

Divide each side by '3'.
a2 = -0.3333333333xy

Simplifying
a2 = -0.3333333333xy

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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