the determinant `Delta=|[a^2+x, ab, ac] , [ab, b^2+x, bc] , [ac, bc, c^2+x]|` is divisible by

The determinant "det(A)"= |[ a^(2) +x,ab,ac], [ab, b^(2) +x,bc,] [ac,bc, c^(2) +x]| is divisible by a. x b. x^2 c. x^3 d. none of these

The determinant "det(A)"= |[ a^(2) +x,ab,ac], [ab, b^(2) +x,bc,] [ac,bc, c^(2) +x]| is divisible by a. x b. x^2 c. x^3 d. none of these (Correct options maybe more than one)

The determinant Delta =|(a^2(1+x),ab,ac),(ab,b^2(1+x),bc), (ac,bc,c^2(1+x))| is divisible by 1)1+x 2)(1+x)^2 3)x^2 4) x^2+1

|[x^2+a^2,ab,ac] , [ab,x^2+b^2,bc] , [ac,bc,x^2+c^2]|=

|[x^2+a^2,ab,ac] , [ab,x^2+b^2,bc] , [ac,bc,x^2+c^2]|=

|[x^2+a^2,ab,ac] , [ab,x^2+b^2,bc] , [ac,bc,x^2+c^2]|=

show that |[a^2+x^2,ab ,ac],[ab,b^2+x^2,bc],[ac,bc,c^2+x^2]| is divisible x^4

Determinant Delta=|(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)| is divisible by a)abc b) x^(2) c) x^(3) d)None of these

Show that |{:(a^2 + x^2 , ab, ac),(ab, b^2 + x^2 , bc),(ac, bc, c^2 +x^2):}| is divisible by x^4

Without expanding the determinant, show that the determinant |{:(a^(2)+10,ab,ac),(ab,b^(2)+10,bc),(ac,bc,c^(2)+10):}| is divisible by 100