# How do you multiply and simplify (1+tanx)^2?

${\left(1 + \tan x\right)}^{2} = \left(1 + \tan x\right) \left(1 + \tan x\right)$---> FOIL
$= 1 + \tan x + \tan x + {\tan}^{2} x$
$= 1 + 2 \tan x + {\tan}^{2} x$