Question
Answer
$$(8-4i)\cdot(2-6i)=24i^2-56i+16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(8-4i)\cdot(2-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}16-48i-8i+24i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}24i^2-56i+16\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{8-4i}\right) $ by each term in $ \left( 2-6i\right) $. $$ \left( \color{blue}{8-4i}\right) \cdot \left( 2-6i\right) = 16-48i-8i+24i^2 $$ |
| ② | Combine like terms: $$ 16 \color{blue}{-48i} \color{blue}{-8i} +24i^2 = 24i^2 \color{blue}{-56i} +16 $$ |
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