If `a, b, c` are positive integers satisfying `a/(b+c)+b/(c+a)+c/(a+b)=3/2`hen the value of `abc+1/(abc)`

If a, b, c are positive real numbers such that (a+b-c)/c = (a-b+c)/b = (-a+b+c)/a ,find the value of ((a+b)(b+c)(c+a))/(abc)

If a, b, c are distinct positive integers such that ab+bc+cage74 , then the minimum value of a^(3)+b^(3)+c^(3)-3abc, is

If a, b, c are distinct positive integers such that ab+bc+cage74 , then the minimum value of a^(3)+b^(3)+c^(3)-3abc, is

a, b, c are positive proper fractions satisfying a + b + c = 1. Show that 8abc le (1 - a) (1 - b) (1 - c) .

if a,b,c are all positive a+b+c=1 and (1-a)(1-b)(1-c)>=k(abc) then find the value of k

Suppose a,b,c are positive integers such that 2^(a)+4^(b)+8^(c)=328 " then" (a+2b+3c)/(abc) is equal to

Let a,b ,c be positive integers such that b/a is an integer. If a,b,c are in GP and the arithmetic mean of a,b,c, is b+2 then the value of (a^2+a-14)/(a+1) is