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, and c be rel numbers which satisfy the equation a+(1)/(bc)=(1)/(5),b+(1)/(ac)=(-1)/(15), and c+(1)/(ab)=(1)/(3) The value of (c-b)/(c-a) is equal to

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

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 , c ne three distinct non-zero real numbers satisfying the system of equation (1)/(a)+(1)/(a-1)+(1)/(a-2)=1 , (1)/(b)+(1)/(b-1)+(1)/(b-2)=1 , (1)/(c )+(1)/(c-1)+(1)/(c-2)=1 . Then abc=

Let a , b , c ne three distinct non-zero real numbers satisfying the system of equation (1)/(a)+(1)/(a-1)+(1)/(a-2)=1 , (b)+(1)/(b-1)+(1)/(b-2)=1 , (1)/(c )+(1)/(c-1)+(1)/(c-2)=1 . Then abc=

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)/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)/c dot 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.