Question
Answer
$$(5+i)\cdot(3+7i)=7i^2+38i+15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5+i)\cdot(3+7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15+35i+3i+7i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7i^2+38i+15\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5+i}\right) $ by each term in $ \left( 3+7i\right) $. $$ \left( \color{blue}{5+i}\right) \cdot \left( 3+7i\right) = 15+35i+3i+7i^2 $$ |
| ② | Combine like terms: $$ 15+ \color{blue}{35i} + \color{blue}{3i} +7i^2 = 7i^2+ \color{blue}{38i} +15 $$ |
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