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If alpha be the real cube root of and be...

If `alpha` be the real cube root of and `beta`, `gamma` be the complex cube roots of `m`, a real positive number, then for any `x`, `y`, `z` show that `(xbeta+ygamma+zalpha)/(xgamma+yalpha+zbeta)=omega^2`, where `omega` is a complex cube root of unity.

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