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\frac{\left(18b^{3}+2b^{2}+3b\right)b}{6}
Express \frac{18b^{3}+2b^{2}+3b}{6}b as a single fraction.
\frac{18b^{4}+2b^{3}+3b^{2}}{6}
Use the distributive property to multiply 18b^{3}+2b^{2}+3b by b.
\frac{\left(18b^{3}+2b^{2}+3b\right)b}{6}
Express \frac{18b^{3}+2b^{2}+3b}{6}b as a single fraction.
\frac{18b^{4}+2b^{3}+3b^{2}}{6}
Use the distributive property to multiply 18b^{3}+2b^{2}+3b by b.