$$\frac{a^{2}+7a+12}{a^{2}+6a+8}$$
$\frac{a+3}{a+2}$
$$\frac{\left(a+3\right)\left(a+4\right)}{\left(a+2\right)\left(a+4\right)}$$
$$\frac{a+3}{a+2}$$
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