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[" Fiffer anfiry for "|[b+c,a,a],[b,c+a,b],[c,c,a+b]|=4abc]

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

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):}| = 4 abc

Prove that {:[( b+c,a,a), ( b,c+a,b),( c,c,b+a) ]:} = 4abc

Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc

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

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 =

Show that |(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=8abc