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If ω is the complex cube root of unity, find the value of (1 + ω2)3 |
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Answer» ω is the complex cube root of unity. ω3 = 1 and 1 + ω + ω2 = 0 Also, 1 + ω2 = -ω, 1 + ω = -ω2 and ω + ω2 = -1 (1 + ω2)3 = (-ω)3 = -ω3 = -1 |
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