\[\begin{array}{l}
M = \left( {\frac{{\sqrt x }}{{\sqrt x + 1}} - \frac{1}{{1 - \sqrt x }} - \frac{{2\sqrt x }}{{x - 1}}} \right)\\
dk:x \ge 0;x \ne 1\\
= \frac{{\sqrt x }}{{\sqrt x + 1}} + \frac{1}{{\sqrt x - 1}} - \frac{{2\sqrt x }}{{\left( {\sqrt x - 1} \right)\left( {\sqrt x + 1} \right)}}\\
= \frac{{\sqrt x \left( {\sqrt x - 1} \right) + \sqrt x + 1 - 2\sqrt x }}{{\left( {\sqrt x - 1} \right)\left( {\sqrt x + 1} \right)}}\\
= \frac{{x - \sqrt x + \sqrt x + 1 - 2\sqrt x }}{{\left( {\sqrt x - 1} \right)\left( {\sqrt x + 1} \right)}}\\
= \frac{{x - 2\sqrt x + 1}}{{\left( {\sqrt x - 1} \right)\left( {\sqrt x + 1} \right)}}\\
= \frac{{{{\left( {\sqrt x - 1} \right)}^2}}}{{\left( {\sqrt x - 1} \right)\left( {\sqrt x + 1} \right)}}\\
= \frac{{\sqrt x - 1}}{{\sqrt x + 1}}\\
vay:M = \frac{{\sqrt x - 1}}{{\sqrt x + 1}}\left( {x \ge 0;x \ne 1} \right)
\end{array}\]