(n^2+r^3)(n^2-r^3)=

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Solution for (n^2+r^3)(n^2-r^3)= equation: 


Simplifying
(n2 + r3)(n2 + -1r3) = 0

Multiply (n2 + r3) * (n2 + -1r3)
(n2(n2 + -1r3) + r3(n2 + -1r3)) = 0
((n2 * n2 + -1r3 * n2) + r3(n2 + -1r3)) = 0

Reorder the terms:
((-1n2r3 + n4) + r3(n2 + -1r3)) = 0
((-1n2r3 + n4) + r3(n2 + -1r3)) = 0
(-1n2r3 + n4 + (n2 * r3 + -1r3 * r3)) = 0
(-1n2r3 + n4 + (n2r3 + -1r6)) = 0

Reorder the terms:
(-1n2r3 + n2r3 + n4 + -1r6) = 0

Combine like terms: -1n2r3 + n2r3 = 0
(0 + n4 + -1r6) = 0
(n4 + -1r6) = 0

Solving
n4 + -1r6 = 0

Solving for variable 'n'.

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

Add 'r6' to each side of the equation.
n4 + -1r6 + r6 = 0 + r6

Combine like terms: -1r6 + r6 = 0
n4 + 0 = 0 + r6
n4 = 0 + r6
Remove the zero:
n4 = r6

Simplifying
n4 = r6

Combine like terms: r6 + -1r6 = 0
n4 + -1r6 = 0

Factor a difference between two squares.
(n2 + r3)(n2 + -1r3) = 0


Subproblem 1
Set the factor '(n2 + r3)' equal to zero and attempt to solve:

Simplifying
n2 + r3 = 0

Solving
n2 + r3 = 0

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

Add '-1r3' to each side of the equation.
n2 + r3 + -1r3 = 0 + -1r3

Combine like terms: r3 + -1r3 = 0
n2 + 0 = 0 + -1r3
n2 = 0 + -1r3
Remove the zero:
n2 = -1r3

Simplifying
n2 = -1r3

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 '(n2 + -1r3)' equal to zero and attempt to solve:

Simplifying
n2 + -1r3 = 0

Solving
n2 + -1r3 = 0

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

Add 'r3' to each side of the equation.
n2 + -1r3 + r3 = 0 + r3

Combine like terms: -1r3 + r3 = 0
n2 + 0 = 0 + r3
n2 = 0 + r3
Remove the zero:
n2 = r3

Simplifying
n2 = r3

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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