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\frac{b\left(a^{2}+11a+24\right)}{\left(a+8\right)\left(ab+3b\right)}
Divide \frac{b}{a+8} by \frac{ab+3b}{a^{2}+11a+24} by multiplying \frac{b}{a+8} by the reciprocal of \frac{ab+3b}{a^{2}+11a+24}.
\frac{b\left(a+3\right)\left(a+8\right)}{b\left(a+3\right)\left(a+8\right)}
Factor the expressions that are not already factored.
1
Cancel out b\left(a+3\right)\left(a+8\right) in both numerator and denominator.
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