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

If `omega pm` 1 is a cube root of unity, show that `(a + b omega + c omega^(2))/(b + c omega + a omega^(2))+ (a + b omega + c omega^(2))/(c + a omega + b omega^(2)) = -1`

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The correct Answer is:
` = omega + omega^(2) = -1 [ because 1 + omega omega^(2) = 0]`
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