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\frac{3b\left(b+3\right)}{b+3}-\frac{9b}{b+3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3b times \frac{b+3}{b+3}.
\frac{3b\left(b+3\right)-9b}{b+3}
Since \frac{3b\left(b+3\right)}{b+3} and \frac{9b}{b+3} have the same denominator, subtract them by subtracting their numerators.
\frac{3b^{2}+9b-9b}{b+3}
Do the multiplications in 3b\left(b+3\right)-9b.
\frac{3b^{2}}{b+3}
Combine like terms in 3b^{2}+9b-9b.