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\frac{8b^{3}b^{3}}{b^{3}}+\frac{1}{b^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 8b^{3} times \frac{b^{3}}{b^{3}}.
\frac{8b^{3}b^{3}+1}{b^{3}}
Since \frac{8b^{3}b^{3}}{b^{3}} and \frac{1}{b^{3}} have the same denominator, add them by adding their numerators.
\frac{8b^{6}+1}{b^{3}}
Do the multiplications in 8b^{3}b^{3}+1.