# How do you simplify ( x + 2)^2 /( x^2 + 3x + 2)?

$\frac{{\left(x + 2\right)}^{2}}{{x}^{2} + 3 x + 2} = \frac{x + 2}{x + 1}$
$\frac{{\left(x + 2\right)}^{2}}{{x}^{2} + 3 x + 2} = \frac{\left(x + 2\right) \left(x + 2\right)}{\left(x + 1\right) \left(x + 2\right)} = \frac{\left(x + 2\right) \cancel{\left(x + 2\right)}}{\left(x + 1\right) \cancel{\left(x + 2\right)}} = \frac{x + 2}{x + 1}$