Factor the expression  $\displaystyle {2}{x}{\left({x}+{2}\right)}^{{\frac{{1}}{{4}}}}-{5}{\left({x}+{2}\right)}^{{\frac{{5}}{{4}}}}$.

Hint: Remember that the greatest common factor of $\displaystyle {A}^{{m}}$ and $\displaystyle$ $\displaystyle {A}^{{n}}$ is $\displaystyle {A}^{{m}}$ if $\displaystyle {m}<{n}$.