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If omega ne 1 is a cube root of unity, s...

If `omega ne 1` is a cube root of unity, show that
(i) `(1-omega+omega^(2))^(6)+(1+omega-omega^(2))^(6)=128`
(ii) `(1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8))…2n terms=1`

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