[(1+2x)(1+x)^(1/2)]/(1-x)

$${\frac{\left[{\left(\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}\right){\mathtt{\,\times\,}}\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{x}}\right)\right)}^{\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}\right]}{\left({\mathtt{1}}{\mathtt{\,-\,}}{\mathtt{x}}\right)}}$$

 

There is nothing to simplify here.  

 

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

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