(i^3-1)(i^3+1)=

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Solution for (i^3-1)(i^3+1)= equation:


Simplifying
(i3 + -1)(i3 + 1) = 0

Reorder the terms:
(-1 + i3)(i3 + 1) = 0

Reorder the terms:
(-1 + i3)(1 + i3) = 0

Multiply (-1 + i3) * (1 + i3)
(-1(1 + i3) + i3(1 + i3)) = 0
((1 * -1 + i3 * -1) + i3(1 + i3)) = 0
((-1 + -1i3) + i3(1 + i3)) = 0
(-1 + -1i3 + (1 * i3 + i3 * i3)) = 0
(-1 + -1i3 + (1i3 + i6)) = 0

Combine like terms: -1i3 + 1i3 = 0
(-1 + 0 + i6) = 0
(-1 + i6) = 0

Solving
-1 + i6 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + i6 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + i6 = 0 + 1
i6 = 0 + 1

Combine like terms: 0 + 1 = 1
i6 = 1

Simplifying
i6 = 1

Reorder the terms:
-1 + i6 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + i6 = 0

Factor a difference between two squares.
(1 + i3)(-1 + i3) = 0

Subproblem 1

Set the factor '(1 + i3)' equal to zero and attempt to solve: Simplifying 1 + i3 = 0 Solving 1 + i3 = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i3 = 0 + -1 i3 = 0 + -1 Combine like terms: 0 + -1 = -1 i3 = -1 Simplifying i3 = -1 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 '(-1 + i3)' equal to zero and attempt to solve: Simplifying -1 + i3 = 0 Solving -1 + i3 = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + i3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + i3 = 0 + 1 i3 = 0 + 1 Combine like terms: 0 + 1 = 1 i3 = 1 Simplifying i3 = 1 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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