S^6-t^6=(s^2)3-(t^2)3

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Solution for S^6-t^6=(s^2)3-(t^2)3 equation: 


Simplifying
S6 + -1t6 = (s2) * 3 + -1(t2) * 3

Reorder the terms for easier multiplication:
S6 + -1t6 = 3s2 + -1(t2) * 3

Reorder the terms for easier multiplication:
S6 + -1t6 = 3s2 + -1 * 3t2

Multiply -1 * 3
S6 + -1t6 = 3s2 + -3t2

Solving
S6 + -1t6 = 3s2 + -3t2

Solving for variable 'S'.

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

Add 't6' to each side of the equation.
S6 + -1t6 + t6 = 3s2 + -3t2 + t6

Combine like terms: -1t6 + t6 = 0
S6 + 0 = 3s2 + -3t2 + t6
S6 = 3s2 + -3t2 + t6

Simplifying
S6 = 3s2 + -3t2 + t6

Reorder the terms:
S6 + -3s2 + 3t2 + -1t6 = 3s2 + -3s2 + -3t2 + 3t2 + t6 + -1t6

Combine like terms: 3s2 + -3s2 = 0
S6 + -3s2 + 3t2 + -1t6 = 0 + -3t2 + 3t2 + t6 + -1t6
S6 + -3s2 + 3t2 + -1t6 = -3t2 + 3t2 + t6 + -1t6

Combine like terms: -3t2 + 3t2 = 0
S6 + -3s2 + 3t2 + -1t6 = 0 + t6 + -1t6
S6 + -3s2 + 3t2 + -1t6 = t6 + -1t6

Combine like terms: t6 + -1t6 = 0
S6 + -3s2 + 3t2 + -1t6 = 0

The solution to this equation could not be determined.

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