Answer
$$-8i\cdot(12-i)=-96i-8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8i\cdot(12-i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(96i-8i^2) \xlongequal{ } \\[1 em] & \xlongequal{ }-(96i+8) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-96i-8\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{8i} $ by $ \left( 12-i\right) $ $$ \color{blue}{8i} \cdot \left( 12-i\right) = 96i-8i^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(96i+8 \right) = -96i-8 $$ |
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