# Struggling to simplify w^(3/2)\sqrt(32)-w^(3/2)sqrt(50) to -w sqrt(2w)

Struggling to simplify ${w}^{3/2}\sqrt{32}-{w}^{3/2}\sqrt{50}$ to $-w\sqrt{2w}$
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Urijah Hahn
Your approach is absolutely right. But note that
$\begin{array}{rl}\sqrt{{w}^{3}}4\sqrt{2}-\sqrt{{w}^{3}}5\sqrt{2}& =\sqrt{{w}^{3}}\left(4\sqrt{2}-5\sqrt{2}\right)\\ & =-\sqrt{{w}^{3}}\sqrt{2}=-w\sqrt{2w}.\end{array}$