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

सारणिक `|{:(1,bc,a(b+c)),(1,ca,b(a+c)),(1,ab,c(a+b)):}|` का मान क्या है ?

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

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

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

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

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

|[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]|=0

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

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

What is the value of the determinant |(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))| ?