Question

Làm hộ mình với

Answer 1

Ta có: \(\left(1+\frac{1}{\sqrt{x}}\right)\cdot\left(\frac{1}{\sqrt{x}+1}+\frac{1}{\sqrt{x}-1}-\frac{2}{x-1}\right)\)

\(=\frac{\sqrt{x}+1}{\sqrt{x}}\cdot\frac{\sqrt{x}-1+\sqrt{x}+1-2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)

\(=\frac{2\sqrt{x}-2}{\sqrt{x}\left(\sqrt{x}-1\right)}=\frac{2\left(\sqrt{x}-1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}=\frac{2}{\sqrt{x}}\)