`(a-b)^3+(b-c)^3+(c-a)^3` is equal to

The expression (a-b)^3+\ (b-c)^3+\ (c-a)^3 can be factorized as (a) (a-b)(b-c)(c-a) (b) 3(a-b)(b-c)(c-a) (c) -3\ (a-b)(b-c)(c-a) (d) (a+b+c)(a^2+b^2+c^2-a b-b c-c a)

(a-b)^3 + (b-c)^3 + (c-a)^3=? (a) (a+b+c)(a^2+b^2+c^2-ab-bc-ac) (b) 3(a-b)(b-c)(c-a) (c) (a-b)(b-c)(c-a) (d)none of these

The value of [{(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3}/{(a-b)^3+(b-c)^3+(c-a)^3}] = (1) 3(a+b)(b+c)(c+a) (2) 3(a-b)(b-c)(c-a) (3) (a+b)(b+c)(c+a) (4) 1

Ifa, b, c are positive real number such that ab^(2)c^(3) = 64 then minimum value of ((1)/(a) + (2)/(b) + (3)/(c)) is equal to

If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a). 2a b c (b). 6a b c (c). 4a b c (d). none of these

Factorize: (a-3b)^3+(3b-c)^3+(c-a)^3

If a+b+c=0, then a^(3)+b^(3)+c^(3) is equal to

If a,b,c are in A.P., then a^(3)+c^(3)-8b^(3) is equal to

If P(B) =(3)/(4) P(A cap B cap overset(-)(c ))=(1)/(3) and P(overset(" "-)(A) cap B cap overset(-)(C ))=(1)/(3) , then P(B cap C) is equal to

The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal to- a. a^3-b^3 b. a^3+b^3 c. 0 d. none of these