Answer
$x^{3/2}$ - $x^{1/2}$
= $x^{1/2}$($x^{1}$) - $x^{1/2}$
= $x^{1/2}$($x$ - 1)
= $\sqrt x$($x$ - 1)
Work Step by Step
To simplify this problem, start by factoring the first term at the smallest exponent ($x^{1/2}$). Then use the result as the greatest common factor to simplify it to how it looks in the final answer. Make sure to convert $x^{1/2}$ to square root form ($\sqrt x$).
