1+omega+omega square=|value of omega in complex no|1 w w2 are cube roots of unity|1+w+w2=?

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Given that \( 1, \omega, \omega^{2} \) are cube roots of unity, show that \[ \left(1-\omega+\ome... Given that \( 1, \omega, \omega^{2} \) are cube roots of unity, show that \[ \left(1-\omega+\ome...
Properties of Cube Root of Unity Part 2: 1+w+w2=0 Properties of Cube Root of Unity Part 2: 1+w+w2=0
1.a) (1+ω–ω²)³ –(1–ω+ω²)³ = 0 . If ω be complex cube root of unity, show that (1+w–w²)³–(1–w+w²)³=0 1.a) (1+ω–ω²)³ –(1–ω+ω²)³ = 0 . If ω be complex cube root of unity, show that (1+w–w²)³–(1–w+w²)³=0
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