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6\left(c^{4}-2c^{6}\right)
Factor out 6.
c^{4}\left(1-2c^{2}\right)
Consider c^{4}-2c^{6}. Factor out c^{4}.
6c^{4}\left(1-2c^{2}\right)
Rewrite the complete factored expression. Polynomial 1-2c^{2} is not factored since it does not have any rational roots.