Упростить   [latex](\frac{\sqrt{x}}{2}- \frac{1}{2\sqrt{x}})\cdot(\frac{x-\sqrt{x}}{\sqrt{x}+1}-\frac{x+\sqrt{x}}{\sqrt{x}-1})[/latex]

[latex](\frac{\sqrt{x}}{2}-\frac{1}{2\sqrt{x}})*(\frac{x-\sqrt{x}}{\sqrt{x}+1}-\frac{x+\sqrt{x}}{\sqrt{x}-1})=\\\\ \frac{x-1}{2\sqrt{x}}*(\frac{x\sqrt{x}-x-x+\sqrt{x}-x\sqrt{x}-x-x-\sqrt{x}}{x-1})=\\\\ \frac{x-1}{2\sqrt{x}}*\frac{(-4x)}{x-1}=\\\\ \frac{(x-1)*4x}{2\sqrt{x}(x-1)}=\\\\ 2\sqrt{x}[/latex]