Answer
$$9\cdot(8-10i)+3+10i=-80i+75$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9\cdot(8-10i)+3+10i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}72-90i+3+10i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-80i+75\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{9} $ by $ \left( 8-10i\right) $ $$ \color{blue}{9} \cdot \left( 8-10i\right) = 72-90i $$ |
| ② | Combine like terms: $$ \color{blue}{72} \color{red}{-90i} + \color{blue}{3} + \color{red}{10i} = \color{red}{-80i} + \color{blue}{75} $$ |
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