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27\left(3x^{4}-13x^{2}\right)
Factor out 27.
x^{2}\left(3x^{2}-13\right)
Consider 3x^{4}-13x^{2}. Factor out x^{2}.
27x^{2}\left(3x^{2}-13\right)
Rewrite the complete factored expression. Polynomial 3x^{2}-13 is not factored since it does not have any rational roots.