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

If a + b + c = 0 , then find the value of ( ( a + b ) / c + ( b + c )/a + ( c + a ) / b ) times ( a /( b + c ) + b /( c + a ) + c /( a + b ) ) is :

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]|

Find the value of ( a - b ) times ( a + b ) + ( b -c ) times ( b + c ) + ( c + a ) times ( c - a ) = A) -1 B) 0 C) 1

Evaluate the following: |[a-b, b-c, c-a],[b-c, c-a, a-b],[c-a, a-b, b-c]|

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