Let `a ,b ,a n dc` be distinct nonzero real numbers such that `(1-a^3)/a=(1-b^3)/b=(1-c^3)/c dot` The value of `(a^3+b^3+c^3)` is _____________.

Let a,b and c be three distinct real numbers such that (2-a^(3))/(a)=(2-b^(3))/(b)=(2-c^(3))/(c)=-3 List-I List-II (P) a+b+c (1) 6 (Q) a^(3)+b^(3)+c^(3) (2) 12 (R) ab+bc+ca (3) 0 (S) 2(a^(2)+b^(2)+c^(2)) (4) -3

Let a,b,c be three distinct positive real numbers such that abc=1, Prove (a^(3))/((a-b)(a-c))+(b^(3))/((b-c)(b-a))+(c^(3))/((c-a)(c-b))>=3

Let a,b,c be three distinct complex numbers such that |a|=|b|=|c|=|b+c-a|=1 then 3-|b+c| is equal to

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=-1, b=-2/3, c=-3/4 , then the value of a+b+c is

If a^(3) =1+7, 3^(3) = 1+7+b, 4^(3) = 1+7 +c , then the value of a+ b+ c is

If (3a+1)^(2) +(b-1)^(2) +(2c-3)^(2)=0 , then value of (3a+b+2c) is

If a ^(1//3) + b ^(1//3) + c ^(1//3) = 0, then the value of (a + b + c) ^(3) will be: