Question
Answer
$$(5+12i)\cdot(6+7i)=84i^2+107i+30$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5+12i)\cdot(6+7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}30+35i+72i+84i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}84i^2+107i+30\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5+12i}\right) $ by each term in $ \left( 6+7i\right) $. $$ \left( \color{blue}{5+12i}\right) \cdot \left( 6+7i\right) = 30+35i+72i+84i^2 $$ |
| ② | Combine like terms: $$ 30+ \color{blue}{35i} + \color{blue}{72i} +84i^2 = 84i^2+ \color{blue}{107i} +30 $$ |
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