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\frac{\left(b^{2}-9\right)\times 2}{6\left(b-3\right)}
Multiply \frac{b^{2}-9}{6} times \frac{2}{b-3} by multiplying numerator times numerator and denominator times denominator.
\frac{b^{2}-9}{3\left(b-3\right)}
Cancel out 2 in both numerator and denominator.
\frac{\left(b-3\right)\left(b+3\right)}{3\left(b-3\right)}
Factor the expressions that are not already factored.
\frac{b+3}{3}
Cancel out b-3 in both numerator and denominator.
\frac{\left(b^{2}-9\right)\times 2}{6\left(b-3\right)}
Multiply \frac{b^{2}-9}{6} times \frac{2}{b-3} by multiplying numerator times numerator and denominator times denominator.
\frac{b^{2}-9}{3\left(b-3\right)}
Cancel out 2 in both numerator and denominator.
\frac{\left(b-3\right)\left(b+3\right)}{3\left(b-3\right)}
Factor the expressions that are not already factored.
\frac{b+3}{3}
Cancel out b-3 in both numerator and denominator.