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6\left(-hh^{2}-h\right)
Factor out 6.
h\left(-h^{2}-1\right)
Consider -h^{3}-h. Factor out h.
6h\left(-h^{2}-1\right)
Rewrite the complete factored expression. Polynomial -h^{2}-1 is not factored since it does not have any rational roots.
-6h^{3}-6h
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.