Question
Answer
$$5+9i+6\cdot(6+3i)=27i+41$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+9i+6\cdot(6+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+9i+36+18i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}27i+41\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{6} $ by $ \left( 6+3i\right) $ $$ \color{blue}{6} \cdot \left( 6+3i\right) = 36+18i $$ |
| ② | Combine like terms: $$ \color{blue}{5} + \color{red}{9i} + \color{blue}{36} + \color{red}{18i} = \color{red}{27i} + \color{blue}{41} $$ |
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