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factor(\frac{\sqrt{T}\left(\sqrt{T}-1\right)}{\sqrt[3]{T}})
Factor the expressions that are not already factored in \frac{T-\sqrt{T}}{T^{\frac{1}{3}}}.
factor(\sqrt[6]{T}\left(\sqrt{T}-1\right))
Cancel out \sqrt[3]{T} in both numerator and denominator.
factor(T^{\frac{2}{3}}-\sqrt[6]{T})
Expand the expression.
\sqrt[6]{T}\left(\sqrt{T}-1\right)
Factor out \sqrt[6]{T}.