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Question

If ω is a cube root of unity.Find (1+ωω2)(1ω+ω2)

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Solution

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
Ans: 4

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