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

${x}^{2} + 5 x + 6$
$\left(x + 2\right) \left(x + 3\right)$
$= \left(x\right) \left(x\right) + \left(x\right) \left(3\right) + \left(2\right) \left(x\right) + \left(2\right) \left(3\right)$
$= {x}^{2} + 3 x + 2 x + 6$
$= {x}^{2} + 5 x + 6$