# How do you simplify (12i)(3i)-(2i)(8-9i)?

Sep 19, 2016

$- 54 - 16 i$

#### Explanation:

Perform the multiplication, distribute the brackets, collect like terms and simplify.

$\Rightarrow 36 {i}^{2} - 16 i + 18 {i}^{2} = 54 {i}^{2} - 16 i$

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

$\Rightarrow 54 {i}^{2} - 16 i = - 54 - 16 i$