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15\left(p^{4}-3p^{2}\right)
Factor out 15.
p^{2}\left(p^{2}-3\right)
Consider p^{4}-3p^{2}. Factor out p^{2}.
15p^{2}\left(p^{2}-3\right)
Rewrite the complete factored expression. Polynomial p^{2}-3 is not factored since it does not have any rational roots.