" सिc्ध करें कि "|[1,a,b+c],[1,b,c+a],[1,c,a+b]|quad =0

Show that |[1,a ,b+c],[1,b, c+a],[1,c ,a+b]|=0 .

Show without expanding at any stage that: [1,a,b+c],[1,b,c+a],[1,c,a+b]|=0

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

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

det[[1,a,a+b1,b,b+c1,c,c+a]]=0

prove that det[[1,a,b+c1,b,c+a1,c,a+b]]=0

Show that det[[1,a,b_(-)c1,b,c+a1,c,a+b]]=0

Show that |[1,b c, a(b+c)],[1,c a, b(c+a)],[1,a b ,c(a+b)]|=0 .

Using the property of determinants and without expanding, prove that: |[1,b c, a(b+c)],[1,c a, b(c+a)],[1,a b, c(a+b)]|=0

Prove: |(1,a, b c),(1,b ,c a),(1,c ,a b)|=|(1,a ,a^2),( 1,b,b^2),( 1,c,c^2)|