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6\left(6b^{4}r+3b^{3}r+4b^{2}r\right)
Factor out 6.
b^{2}r\left(6b^{2}+3b+4\right)
Consider 6b^{4}r+3b^{3}r+4b^{2}r. Factor out b^{2}r.
6b^{2}r\left(6b^{2}+3b+4\right)
Rewrite the complete factored expression. Polynomial 6b^{2}+3b+4 is not factored since it does not have any rational roots.