Answer
$x^{\frac{3}{2}}(x-1)$
Work Step by Step
$x^{\frac{5}{2}}-x^{\frac{3}{2}}=x^{\frac{3}{2}}(x^{\frac{2}{2}})-x^{\frac{3}{2}}(1)=x^{\frac{3}{2}}(x^{\frac{2}{2}}-1)=x^{\frac{3}{2}}(x-1)$
In this problem, we make use of the product rule, which holds that $a^{m}\times a^{n}=a^{m+n}$.
