Rút gọn \(P=\frac{x^{2}-\sqrt{x}}{x+\sqrt{x}+1}-\frac{2 x+\sqrt{x}}{\sqrt{x}}+\frac{2(x-1)}{\sqrt{x}-1} \quad(x>0, x \neq 1)\)

* Hướng dẫn giải

Ta có

\(P=\frac{\sqrt{x}\left(\sqrt{x^{3}}-1\right)}{x+\sqrt{x}+1}-\frac{\sqrt{x}(2 \sqrt{x}+1)}{\sqrt{x}}+\frac{2(\sqrt{x}-1)(\sqrt{x}+1)}{\sqrt{x}-1}\)

\(\begin{array}{l} =\frac{\sqrt{x}(\sqrt{x}-1)(x+\sqrt{x}+1)}{x+\sqrt{x}+1}-2 \sqrt{x}-1+2(\sqrt{x}+1) \\ =x-\sqrt{x}+1 \end{array}\)

Chọn đáp án B