If alpha,beta,gamma are the roots of the...

If `alpha,beta,gamma` are the roots of the equation `(x^3+x^2+x+1)=0` then
`|{:(1+alpha," "1," "1),(" "1,1+beta," "1),(" "1," "1,1+gamma):}|` is equal to

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If `alpha,beta,gamma` are the roots of the equation `(x^3+x^2+x+1)=0` then `|{:(1+alpha," "1," "1),(" "1,1+beta," "1),(" "1," "1,1+gamma):}|` is equal to

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If `alpha,beta,gamma` are the roots of the equation `(x^3+x^2+x+1)=0` then
`|{:(1+alpha," "1," "1),(" "1,1+beta," "1),(" "1," "1,1+gamma):}|` is equal to