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" Show that "|[b+c,c+a,a+b],[a+b,b+c,c+a...

" Show that "|[b+c,c+a,a+b],[a+b,b+c,c+a],[a,b,c]|=a^(3)+b^(3)+c^(3)-3abc

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det[[a,b,ca-b,b-c,c-ab+c,c+a,a+b]]=a^(3)+b^(3)+c^(3)-3abc

Prove that: |[a, b, c],[a-b, b-c, c-a ], [b+c, c+a, a+b]|= a^3+b^3+c^3-3abc

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[[b+c,a-b,ac+a,b-c,ba+b,c-a,c]]=3abc-a^(3)-b^(3)-c^(3)

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Prove the following: [[b+c,a+b,a],[c+a,b+c,b],[a+b,c+a,c]] = a^3+b^3+c^3-3abc

Show that abs((a,b,c),(a-b,b-c,c-a),(b+c,c+a,a+b)) = a^3+b^3+c^3 -3abc.