$\displaystyle \begin{array}{{>{\displaystyle}l}} P=\frac{\sqrt{x} +1}{\sqrt{x} -1} -\frac{\sqrt{x} -1}{x-1} -\frac{2}{\sqrt{x} -x}\\ DK\ :x\geqslant 0;\ x\#1\ \\ P=\frac{\sqrt{x}\left(\sqrt{x} +1\right) -\sqrt{x}\left(\sqrt{x} -1\right) -2\left(\sqrt{x} +1\right)}{\sqrt{x}\left(\sqrt{x} -1\right)\left(\sqrt{x} +1\right)}\\ P=\frac{x+\sqrt{x} -x+\sqrt{x} -2\sqrt{x} +1}{\sqrt{x}( x-1)} =\frac{1}{\sqrt{x}( x-1)} \end{array}$
