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Question

If ω is a cube root of unity, then (1+ωω2)(1ω+ω2) =
[MNR 1990; MP PET 1993, 2002]

A

1

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B

0

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C
2
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D
4
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Solution

The correct option is D 4
If ω is a complex cube root of unity then ω3=1 and 1+ω+ω2=0, therefore (1+ωω2)(1ω+ω2)
=(2ω2)(2ω)=4

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