# How do you simplify (2 - 4i)(8 + 3i)?

Jan 14, 2017

$28 - 26 i$

#### Explanation:

distribute the brackets using, for example, the FOIL method.

$\Rightarrow \left(2 - 4 i\right) \left(8 + 3 i\right) = 16 + 6 i - 32 i - 12 {i}^{2}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{i}^{2} = {\left(\sqrt{- 1}\right)}^{2} = - 1} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\Rightarrow 16 - 26 i - 12 {i}^{2} = 16 - 26 i + 12$

$= 28 - 26 i$