5) [tex]M=(\frac{\sqrt{x}-2}{x-2\sqrt{x}+1}-\frac{\sqrt{x}+2}{x-1}):(\frac{1}{\sqrt{x}+1}-\frac{1}{\sqrt{x}-1})[/tex]
[tex]M=\frac{(\sqrt{x}-2)(\sqrt{x}+1)-(\sqrt{x}+2)(\sqrt{x}-1)}{(\sqrt{x}-1)^2(\sqrt{x}+1)}:\frac{-2}{x-1}[/tex]
[tex]M=\frac{-2\sqrt{x}(x-1)}{(x-1)(\sqrt{x}-1).(-2)}=\frac{\sqrt{x}}{\sqrt{x}-1}[/tex]