Question

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

Evaluate

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

Factor

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