A^3 + B^3 + C^3 − 3ABC
Determine all possible values of the expression
A^3 + B^3 + C^3 − 3ABC
where A, B, and C are nonnegative integers.
A = B = C => 0
A^3
A=B
2A^3 + C^3 - 3A^2C
C=B=3
A^3 + 54 - 27*A
1 => 28
2 => 8
3 => 0
4 => 16
5 => 44
6 => 108
Determine all possible values of the expression
A^3 + B^3 + C^3 − 3ABC
where A, B, and C are nonnegative integers.
A = B = C => 0
A^3
A=B
2A^3 + C^3 - 3A^2C
C=B=3
A^3 + 54 - 27*A
1 => 28
2 => 8
3 => 0
4 => 16
5 => 44
6 => 108
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