\(\large \begin{cases}{x+y+z=2} \\ {x^2+y^2+z^2=3} \\ {xyz = 4 } \end{cases}\)
If x, y and z are complex numbers that satsify the system of equations above, find the value of \(\displaystyle \frac1{xy+z-1} +\frac1{yz+x-1}+\frac1{zx+y-1}\)
