Answer
$9r+4$
Work Step by Step
Step 1. Rewrite and factor the numerator as $72r^2+59r+12=72r^2+27r-27r+59r+12=9r(8r+3)+32r+12=9r(8r+3)+4(8r+3)=(8r+3)(9r+4)$
Step 2. We have $\frac{72r^2+59r+12}{8r+3}=\frac{(8r+3)(9r+4)}{8r+3}=9r+4$
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