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" 16."[[b+c,a-b,a],[c+a,b-c,b],[a+b,c-a,...

" 16."[[b+c,a-b,a],[c+a,b-c,b],[a+b,c-a,c]]=3abc-a^(3)-b^(3)-c^(3)

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

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

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

Prove that |(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)|=3abc-a^(3)-b^(3)-c^(3)

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

|{:(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c):}|=3abc-a^3-b^3-c^3

Prove that: {:|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)|=3abc -a^3-b^3-c^3

Without expanding the determinants,show that |(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)|=3abc-a^3-b^3-c^3

[[ Prove that ,,a+b,b,cb+c,c,ac+a,a,b]]=3abc-a^(3)-b^(3)-c^(3)

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