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2\left(2h^{3}+h\right)
Factor out 2.
h\left(2h^{2}+1\right)
Consider 2h^{3}+h. Factor out h.
2h\left(2h^{2}+1\right)
Rewrite the complete factored expression. Polynomial 2h^{2}+1 is not factored since it does not have any rational roots.