What is the determinant `|{:(bc,a,a^(2)),(ca,a,b^(2)),(ab,c,c^(2)):}|` equal to ?

What is the determinant |(bc,a,a^(2)),(ca,b,b^(2)),(ab,c,c^(2))| equal to ?

The value of the determinant |{:(1,a, a^(2)-bc),(1, b, b^(2)-ca),(1, c, c^(2)-ab):}| is…..

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

Using properties of determinant show that : |(bc,a,a^2),(ca,b,b^2),(ab,c,c^2)|=(b-c)(c-a)(a-b)(ab+bc+ca)

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

The determinant |{:(b^2-ab,b-c,bc-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2):}| equals …….

The determinant |(b^2-ab,b-c,-ac),(ab-a^2,a-b,b^2-ab),(bc-ac,c-a,ab-a^2)| equals :

The determinants |{:(1,a, bc),(1, b, ca),(1, c, ab):}| " and "|{:(1,a, a^(2)),(1, b, b^(2)),(1, c, c^(2)):}| are not identically equal.