find the value of
`|[1,a,b+c],[1,b,c+a],[1,c,a+b]|`

The value of Delta = |(1,a,b +c),(1,b,c +a),(1,c,a +b)| , is

Evaluate the following: |[1, a, b+c],[1, b, c+a],[1, c, a+b]|

Find the value of: |[1 a^2 a^3],[1 b^2 b^3],[1 c^2 c^3]|

Find the value of det[[1,a,a^(2)-bc1,b,b^(2)-ac1,c,c^(2)-ab]]

If a b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b)) ? (a) 0 (b) 1 (c) 3 (d) a+b+c

If a,b,c are in G.P. then the value of |(a,b,a+b),(b,c,b+c),(a+b,b+c,0)|= (A) 1 (B) -1 (C) a+b+c (D) 0

If a, b and c are real numbers, then the value of the determinant |(1-a,a-b-c,b+c),(1-b,b-c-a,c+a),(1-c,c-a-b,a+b)| is

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

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)|