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|{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc...

`|{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc):}|` is equal to

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|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

Evaluate Delta=|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

Factorise : |(1,a,bc),(1,b,ca),(1,c,ab)|

If a,b,c are non zero real numbers then Delta=|(1,ab,1/a+1/b),(1,bc,1/b+1/c),(1,ca,1/c+1/a)| equals

|(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))|=

|(1,1,1),(a,b,c),(bc,ca,ab)|=

|{:(1,bc,bc(b+c)),(1,ca,ca(c+a)),(1,ab,ab(a+b)):}|=0

Without expanding prove that , |{:(1,ab,1/a+1/b),(1,bc,1/b+1/c),(1,ca,1/c+1/a):}|=0

Evaluate Delta = {:|(1,a,bc),( 1,b,ca),(1,c,ab)|:}