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The value of the expression 1.(2- omega)...

The value of the expression `1.(2- omega)(2- omega^(2)) + 2.(3-omega) (3-omega^(2)) + …+ (n-1)(n- omega)(n- omega^(2))`,
where `omega` is an imaginary cube root of unity is

A

`((n(n+1))/(2))^(2)`

B

`((n(n+1))/(2))^(2)-n`

C

`((n(n+1))/(2))^(2)+n`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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