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10\left(b^{4}+b^{2}\right)
Factor out 10.
b^{2}\left(b^{2}+1\right)
Consider b^{4}+b^{2}. Factor out b^{2}.
10b^{2}\left(b^{2}+1\right)
Rewrite the complete factored expression. Polynomial b^{2}+1 is not factored since it does not have any rational roots.