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5\left(5b^{2}+7b^{4}-9b^{5}\right)
Factor out 5.
b^{2}\left(5+7b^{2}-9b^{3}\right)
Consider 5b^{2}+7b^{4}-9b^{5}. Factor out b^{2}.
5b^{2}\left(5+7b^{2}-9b^{3}\right)
Rewrite the complete factored expression. Polynomial 5+7b^{2}-9b^{3} is not factored since it does not have any rational roots.