# How do you write the partial fraction decomposition of the rational expression  (x+4)/[(x+1)^2 + 4]?

$\frac{x + 4}{{\left(x + 1\right)}^{2} + 4} = \frac{x + 4}{{x}^{2} + 2 x + 1 + 4}$
$= \frac{x + 4}{{x}^{2} + 2 x + 5}$