Find the value of the determinant `|{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|`

What is the value of the determinant |{:(a-b,b+c,a),(b-c,c+a,b),(c-a,a+b,c):}| ?

Find the factor of determinant |(a, b+c, a^2), (b, c+a, b^2), (c, a+b, c^2)|.

If a, b, c are the roots of the equation x^3-12x^2+39x-21=0 then find the value of the determinant |[a, b-c, c+b] , [ a+c, b, c-a] , [a-b, b+a, c]|

What is the value of the determinant |(a-b,b+c,a),(b-c,c+a,b),(c-a,a+b,c)| ?

The determinant Delta=|(a^2(a+b),a b,a c),(a b,b^2(a+k),b c),(a c,b c,c^2(1+k))| is divisible by

The value of the determinant ,a+b+2c,a,bc,b+c+2a,bc,a,c+a+2b]| is

The value of the determinant |[a-b,b+c,a],[b-c,c+a,b],[c-a,a+b,c]| is