Question
Answer
$$(2-8i)\cdot(3-5i)=40i^2-34i+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2-8i)\cdot(3-5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6-10i-24i+40i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}40i^2-34i+6\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2-8i}\right) $ by each term in $ \left( 3-5i\right) $. $$ \left( \color{blue}{2-8i}\right) \cdot \left( 3-5i\right) = 6-10i-24i+40i^2 $$ |
| ② | Combine like terms: $$ 6 \color{blue}{-10i} \color{blue}{-24i} +40i^2 = 40i^2 \color{blue}{-34i} +6 $$ |
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