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1. $ω$

A. 1
B. 1
C. 1
D. 1

Answer: Option B

Explanation:

{(1 + ω)}^{3} = 1 + 3 ω + 3 ω^{2} + ω^{3} = 1 + ω + ω + ω + ω^{2} + ω^{2} + ω^{2} + 1 = 1 + ω + ω^{2} + 1 + ω + ω^{2} + ω + ω^{2} [1 + ω + ω^{2} = 0, ω + ω^{2} = - 1] = 0 + 0 - 1 = - 1

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