Sửa đề: 1-xcăn x
\(=\dfrac{\sqrt{x}-1+\sqrt{x}}{\sqrt{x}\left(1-\sqrt{x}\right)}:\left(\dfrac{2\sqrt{x}-1}{1-\sqrt{x}}+\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1-x\sqrt{x}}\right)\)
\(=\dfrac{2\sqrt{x}-1}{\sqrt{x}\left(1-\sqrt{x}\right)}:\left[\left(2\sqrt{x}-1\right)\left(\dfrac{1}{1-\sqrt{x}}+\dfrac{\sqrt{x}+1}{1-x\sqrt{x}}\right)\right]\)
\(=\dfrac{2\sqrt{x}-1}{\sqrt{x}\left(1-\sqrt{x}\right)}:\left[\left(2\sqrt{x}-1\right)\cdot\dfrac{1+x+\sqrt{x}+\sqrt{x}+1}{1-x\sqrt{x}}\right]\)
\(=\dfrac{2\sqrt{x}-1}{\sqrt{x}\left(1-\sqrt{x}\right)}\cdot\dfrac{1-x\sqrt{x}}{\left(2\sqrt{x}-1\right)\left(x+2\sqrt{x}+2\right)}\)
\(=\dfrac{\left(1+x+\sqrt{x}\right)}{\sqrt{x}\left(x+2\sqrt{x}+2\right)}\)
