Show that, `|{:(a^2+10,ab,ac),(ab,b^2+10,bc),(ca,bc,c^2+10):}|` is divisible by 100 .

|{:(a^2,ab,ac),(ab,b^2,bc),(ca,bc,c^2):}|= ?

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

|(a^(2)+1,ab,ac),(ab,b^(2)+1,bc),(ac,bc,c^(2)+1)|=

|(-a^(2),ab,ac),(ab,-b^(2),bc),(ac,bc,-c^(2))|=

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

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

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

Show that |(a^(2)+x^(2),ab,ac),(ab,b^(2)+x^(2),bc),(ac,bc,c^(2)+x^(2))| is divisible by x^(2) .

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)