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Prove that, |{:(alpha,beta,gamma),(alpha...

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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`= (alpha-beta)(beta-gamma)(gamma-alpha)(alpha+beta+gamma)`
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