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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

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The correct Answer is:
B
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