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

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


Simplifying
(a3 + b2)(a3 + -1b2) = 0

Multiply (a3 + b2) * (a3 + -1b2)
(a3(a3 + -1b2) + b2(a3 + -1b2)) = 0
((a3 * a3 + -1b2 * a3) + b2(a3 + -1b2)) = 0

Reorder the terms:
((-1a3b2 + a6) + b2(a3 + -1b2)) = 0
((-1a3b2 + a6) + b2(a3 + -1b2)) = 0
(-1a3b2 + a6 + (a3 * b2 + -1b2 * b2)) = 0
(-1a3b2 + a6 + (a3b2 + -1b4)) = 0

Reorder the terms:
(-1a3b2 + a3b2 + a6 + -1b4) = 0

Combine like terms: -1a3b2 + a3b2 = 0
(0 + a6 + -1b4) = 0
(a6 + -1b4) = 0

Solving
a6 + -1b4 = 0

Solving for variable 'a'.

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

Add 'b4' to each side of the equation.
a6 + -1b4 + b4 = 0 + b4

Combine like terms: -1b4 + b4 = 0
a6 + 0 = 0 + b4
a6 = 0 + b4
Remove the zero:
a6 = b4

Simplifying
a6 = b4

Combine like terms: b4 + -1b4 = 0
a6 + -1b4 = 0

Factor a difference between two squares.
(a3 + b2)(a3 + -1b2) = 0


Subproblem 1
Set the factor '(a3 + b2)' equal to zero and attempt to solve:

Simplifying
a3 + b2 = 0

Solving
a3 + b2 = 0

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

Add '-1b2' to each side of the equation.
a3 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
a3 + 0 = 0 + -1b2
a3 = 0 + -1b2
Remove the zero:
a3 = -1b2

Simplifying
a3 = -1b2

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 '(a3 + -1b2)' equal to zero and attempt to solve:

Simplifying
a3 + -1b2 = 0

Solving
a3 + -1b2 = 0

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

Add 'b2' to each side of the equation.
a3 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
a3 + 0 = 0 + b2
a3 = 0 + b2
Remove the zero:
a3 = b2

Simplifying
a3 = b2

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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