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If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity. Find the value of the expression `1(2- omega)(2-omega^(2))+2(3-omega) +...+ (n-1)(n-omega)(n-omega^(2))`.

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The correct Answer is:
`=[(n(n+1))/(2)]^(2)-n`
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