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\frac{-8xz-243z^{3}x}{36}
Factor out \frac{1}{36}.
xz\left(-8-243z^{2}\right)
Consider -8xz-243z^{3}x. Factor out xz.
\frac{xz\left(-8-243z^{2}\right)}{36}
Rewrite the complete factored expression. Polynomial -8-243z^{2} is not factored since it does not have any rational roots.