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Prove that |alpha beta gamma , alpha^2 beta^2 gamma^2 , beta+gamma gamma+alpha alpha +beta| = (alpha - beta)(beta-gamma) (gamma - alpha) (alpha+ beta+gamma).

Prove that |alpha beta gamma , alpha^2 beta^2 gamma^2 , beta+gamma gamma+alpha alpha +beta| = (alpha - beta)(beta-gamma) (gamma - alpha) (alpha+ beta+gamma).

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