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4\left(-c^{4}+3c^{2}\right)
Factor out 4.
c^{2}\left(-c^{2}+3\right)
Consider -c^{4}+3c^{2}. Factor out c^{2}.
4c^{2}\left(-c^{2}+3\right)
Rewrite the complete factored expression. Polynomial -c^{2}+3 is not factored since it does not have any rational roots.