Answer
$= \frac{(x+3)}{(x+2)}$
Work Step by Step
$\frac{x^{2}+6x+9}{(x+2)(x+3)}$
$= \frac{x^{2}+3x+3x+9}{(x+2)(x+3)}$
$= \frac{x(x+3)+3(x+3)}{(x+2)(x+3)}$
$= \frac{(x+3)(x+3)}{(x+2)(x+3)}$
$= \frac{(x+3)}{(x+2)}$
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