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 c are positive real numbers such that a+b+c=1 then the least value of ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c)) is

If a,b, and c are distinct positive real numbers and a^(2)+b^(2)+c^(2)=1, then ab+bc+ca is

If a,b,c are positive real numbers such that a+b+c=1, then prove that (a)/(b+c)+(b)/(c+a)+(c)/(a+b)>=(3)/(2)

If a, b, c and d are positive real numbers such that a+b+c+d= 1 then prove that ab + bc + cd + da le 1/4 .

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a, b and c are distinct positive real numbers and a^2 + b^2 + c^2 = 1, then ab + bc + ca is

If a,b,c and d are four positive real numbers such that abcd =1, what is the minimum value of (1+a)(1+b)(1+c)(1+d)

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

If a,b,c are positive real numbers such that a+b+c=1 , then find the minimum value of (1)/(ab)+(1)/(bc)+(1)/(ac) .

If a, b, c are distinct positive real numbers such that a+(1)/(b)=4,b+(1)/( c )=1,c+(1)/(d)=4 and d+(1)/(a)=1 , then