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Prove that |[1+a,1, 1], [1,1+b,1], [1, 1...

Prove that `|[1+a,1, 1], [1,1+b,1], [1, 1, 1+c]|=a b c(1+1/a+1/b+1/c)=a b c+b c+c a+a b`

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