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 ,a n dc be distinct nonzero real numbers such that (1-a^3)/a=(1-b^3)/b=(1-c^3)/cdot The value of (a^3+b3+c^3) is _____________.

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

If a ,b , a n dc are distinct positive real numbers such that a+b+c=1, then prove that (1-a)(1-b)(1-c)> 8.

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 ,ba n dc be real numbers such that a+2b+c=4 . Find the maximum value of (a b+b c+c a)dot

If a ,b , a n dc are distinct positive real numbers such that a+b+c=1, then prove tha ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))> 8.

If a ,b , a n dc are distinct positive real numbers such that a+b+c=1, then prove that ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))> 8.

Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=1/5,b+1/(a c)=(-1)/(15),a n dc+1/(a b)=1/3dot The value of (c-b)/(c-a) is equal to ________.

Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=1/5,b+1/(a c)=(-1)/(15),a n dc+1/(a b)=1/3dot The value of (c-b)/(c-a) is equal to ________.

Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=1/5,b+1/(a c)=(-1)/(15),a n dc+1/(a b)=1/3dot The value of (c-b)/(c-a) is equal to ________.