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|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4ab...

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

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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,b+a) ]:} = 4abc

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Using properties of determinants, show that |(b+a,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

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