Rút gọn biểu thức

----- Nội dung dịch tự động từ ảnh -----
1) $\left(\frac{\sqrt{x}-1}{\sqrt{x}+1}\right)^{2} \quad (với \, x>0, x \neq 1)$

2) $\frac{x^{2} + \sqrt{x}}{\sqrt{x} - 1} - \frac{2x + \sqrt{x}}{\sqrt{x}} \quad (với \, x > 0)$

3) $\frac{2}{x - 9} - \frac{\sqrt{x} + 3}{x - 5\sqrt{x} + 6} - \frac{2\sqrt{x} - 2}{3 - \sqrt{x}}$

4) $\frac{x\sqrt{x}-1}{\sqrt{x}} + \frac{x+1}{\sqrt{x}}$

5) $\frac{x + 2}{\sqrt{x} - 1} + \frac{1}{\sqrt{x} - 1}$

6) $\left(\frac{2\sqrt{x} + x - \sqrt{x}}{\sqrt{x} - 1}\right) + \frac{x - 1}{2x + \sqrt{x} - 1} + \frac{\sqrt{x}}{2\sqrt{x} - 1}$

7) $\frac{x\sqrt{y} + \sqrt{x}\sqrt{y}}{x - y}$

8) $\frac{x\sqrt{y} + \sqrt{x}\sqrt{y}}{\sqrt{xy}} \quad (x - y)$

9) $\left(\sqrt{a + 3} - \sqrt{a - 1} - \frac{4\sqrt{a - 4}}{a - 2}\right) \quad (a - 2, a + 2)$

10) $\left(\frac{1}{\sqrt{x} - 1} + \frac{1}{\sqrt{x}+1}\right)\left(\frac{x - 1}{\sqrt{x} + 1}\right) - 2$