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\frac{3\pi r^{2}h-\pi r^{2}g}{3}
Factor out \frac{1}{3}.
\pi r^{2}\left(3h-g\right)
Consider 3\pi r^{2}h-\pi r^{2}g. Factor out \pi r^{2}.
\frac{\pi r^{2}\left(-g+3h\right)}{3}
Rewrite the complete factored expression.