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If alpha , beta , gamma are the root...

If ` alpha , beta , gamma` are the roots of` x^3 -3x^2 +3x+7=0` then show that ` (alpha-1)/( beta-1) +(beta -1)/(gamma -1) +(gamma -1)/( alpha-1) = 3 omega ^2` where ` omega ` is complex cube of unity .

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