|[a,c,a+c],[a+b,b,a],[b,b+c,c]|=4abc

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|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4abc

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

Show that |[b+c,c+a,a+b] , [a+b,b+c,c+a] , [a,b,c]|=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

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

Using properties of determinants prove the following. abs[[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4abc

Prove that |[b+c,a,a],[b,c+a,b],[c,c,a+b]| = 4abc

Using properties of determinants, show that |(b+a,a,a),(b,c+a,b),(c,c,a+b)|=4abc

Using properties of determinant show that |(a+b,a,b),(a,a+c,c),(b,c,b+c)|=4abc

Let a, b, c be the positive integers such that |[b+c,c,b],[c,c+a,a],[b,a,a+b]|=4 , then abc =