Prove that |(1+a^2,ab,ac),(ab,1+b^2,bc),...

Prove that `|(1+a^2,ab,ac),(ab,1+b^2,bc),(ca,cb,1+c^2)| =1+a^2+b^2+c^2`

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Prove that |(1+a^2,ab,ac),(ab,1+b^2,bc),(ca,cb,1+c^2)| =1+a^2+b^2+c^2
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