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

Apr 11, 2015

$\left(x + 1\right)$

Simplification

$\frac{{x}^{2} + 3 x + 2}{x + 2}$

$\frac{{x}^{2} + 2 x + x + 2}{x + 2}$

$\frac{x \left(x + 2\right) + 1 \left(x + 2\right)}{x + 2}$

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

$\left(x + 1\right)$