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5\left(3b^{5}-b^{2}\right)
Factor out 5.
b^{2}\left(3b^{3}-1\right)
Consider 3b^{5}-b^{2}. Factor out b^{2}.
5b^{2}\left(3b^{3}-1\right)
Rewrite the complete factored expression. Polynomial 3b^{3}-1 is not factored since it does not have any rational roots.