Question
Answer
$$(5+2i)\cdot(8+8i)=16i^2+56i+40$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5+2i)\cdot(8+8i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}40+40i+16i+16i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}16i^2+56i+40\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5+2i}\right) $ by each term in $ \left( 8+8i\right) $. $$ \left( \color{blue}{5+2i}\right) \cdot \left( 8+8i\right) = 40+40i+16i+16i^2 $$ |
| ② | Combine like terms: $$ 40+ \color{blue}{40i} + \color{blue}{16i} +16i^2 = 16i^2+ \color{blue}{56i} +40 $$ |
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