Answer
$x^{5/2}-x^{1/2}=\sqrt{x}(x-1)(x+1)$
Work Step by Step
$x^{5/2}-x^{1/2}$
Take out common factor $x^{1/2}$:
$x^{5/2}-x^{1/2}=x^{1/2}(x^{4/2}-1)=\sqrt{x}(x^{2}-1)=...$
To finish the factoring process, factor the difference of squares inside the parentheses:
$...=\sqrt{x}(x-1)(x+1)$
