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8\left(4b^{9}-5b^{8}-b^{4}+b^{3}\right)
Factor out 8.
b^{3}\left(4b^{6}-5b^{5}-b+1\right)
Consider 4b^{9}-5b^{8}-b^{4}+b^{3}. Factor out b^{3}.
8b^{3}\left(4b^{6}-5b^{5}-b+1\right)
Rewrite the complete factored expression. Polynomial 4b^{6}-5b^{5}-b+1 is not factored since it does not have any rational roots.