Answer
$x^{2}+11x+18$
Work Step by Step
$(x+2)(x+9)=$
$...$distribute the second factor, $(x+9)$.
$=x(x+9)+2(x+9)$
...distribute $x$.
$=x^{2}+9x+2(x+9)$
...distribute $2$.
$=x^{2}+9x+2x+18$
...gather like terms.
=$x^{2}+11x+18$