# How do you simplify (1+i)^2?

Feb 2, 2017

$2 i$

Just times is out and plug in ${i}^{2} = - 1$

#### Explanation:

${\left(1 + i\right)}^{2}$

Times it out using foil or the perfect square rule

$= 1 + 2 i + {i}^{2}$

Plug in ${i}^{2} = - 1$

$= 1 + 2 i - 1$

$= 2 i$