" at "(x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)(x-b)(x-c)=

If 3x = a + b + c , then find the value of (x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)(x-b)(x-c)

If (x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)(x-b)(x-c)=0 , then x =

Find the value of (x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)(x-b)(x-c) when a+b+c=3x

If 3x=a+b+c, then the value of (x-a)^(3)+(x-b)^(3)+(x-c)^(3)-3(x-a)(x-b)(x-c) is (a) a+b+c( b )(a-b)(b-c)(c-a)(c)0(d) None of these

If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x-b)(x-c) is (a) a+b+c (b) (a-b)(b-c)(c-a) (c) 0 (d) None of these

If 3x=a+b+c, then the value of (x-a)^3+(x-b)^3+(x-c)^3-3(x-a)(x-b)(x-c) is

Find the value of (x-a)^3+(x-b)^3+(x-c)^3-3(x-a)(x-b)(x-c) when a+b+c=3x

(x^(3))/((x-a)(x-b)(x-c))

If |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))| = (a - b) (b - c) (c - a) (a + b + c) , where a,b,c are all different, then the determinant |(1,1,1),((x-a)^(2),(x-b)^(2),(x-c)^(2)),((x-b)(x-c),(x-c)(x-a),(x-a)(x-b))| vanishes when a)a + b + c = 0 b) x = (1)/(3) (a + b + c) c) x = (1)/(2) (a + b + c) d) x = a + b + c

Solve for x in R : |((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)^3,(x-c)^3),((x+a)^3,(x+b)^3,(x+c)^3)| =0, a,b and c being distinct real numbers.