Factor
\frac{b\left(9b^{3}+10\right)}{20}
Evaluate
\frac{9b^{4}}{20}+\frac{b}{2}
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\frac{9b^{4}+10b}{20}
Factor out \frac{1}{20}.
b\left(9b^{3}+10\right)
Consider 9b^{4}+10b. Factor out b.
\frac{b\left(9b^{3}+10\right)}{20}
Rewrite the complete factored expression. Polynomial 9b^{3}+10 is not factored since it does not have any rational roots.
\frac{9b^{4}}{20}+\frac{10b}{20}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 20 and 2 is 20. Multiply \frac{b}{2} times \frac{10}{10}.
\frac{9b^{4}+10b}{20}
Since \frac{9b^{4}}{20} and \frac{10b}{20} have the same denominator, add them by adding their numerators.
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