Q.

if w is a complex cube root of unity, than1   w   w2w  w2 1w2 1   w +w   w2 1w2 1  ww  w  11ww2=

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a

111

b

248

c

000

d

3927

answer is C.

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Detailed Solution

We have 1   w   w2w  w2 1w2 1   w +w   w2 1w2 1  ww  w  11ww2               = 1   w   w2w  w2 1w2 1   w +w1   w   w2w  w2 1w2 1   w 1ww2               =1+w1   w   w2w  w2 1w2 1   w 1ww2                =1+w000
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