# How do you simplify (3 + 2i)(2 + 4i)?

Feb 25, 2016

$- 2 + 16 i$

#### Explanation:

distribute the brackets using FOIL , or any method you use .

$\left(3 + 2 i\right) \left(2 + 4 i\right) = 6 + 12 i + 4 i + 8 {i}^{2}$

[ Note : ${i}^{2} = {\left(\sqrt{-} 1\right)}^{2} = - 1$]

hence $6 + 12 i + 4 i + 8 {i}^{2} = 6 + 16 i - 8 = - 2 + 16 i$