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\frac{15\left(-\sqrt{3}t^{2}+16\sqrt{3}t\right)}{8}
Factor out \frac{15}{8}.
\sqrt{3}t\left(-t+16\right)
Consider -\sqrt{3}t^{2}+16\sqrt{3}t. Factor out \sqrt{3}t.
\frac{15\sqrt{3}t\left(-t+16\right)}{8}
Rewrite the complete factored expression.