If a,b,c are positive real numbers such that a + b + c = 1 , then find the minimum value of $\frac{(1+a)(1+c)(1+c)}{(1-a)(1-b)(1-c)}$
If $x,y,z>0$ are distinct and $x+y+z=1$ what is the minimum of $\left((1+x)(1+y)(1+z)\right)/\left((1-x)(1-y)(1-z)\right)$?