Answer
$\displaystyle \frac{(1+x)^{2}}{x^{3/2}}$
Work Step by Step
$x^{-3/2}+2x^{-1/2}+x^{1/2}=x^{-3/2}(1+2x+x^{2})=\displaystyle \frac{(1+x)^{2}}{x^{3/2}}$
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