Question
Answer
$$(-3+6i)\cdot(-6+6i)=36i^2-54i+18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-3+6i)\cdot(-6+6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}18-18i-36i+36i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}36i^2-54i+18\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-3+6i}\right) $ by each term in $ \left( -6+6i\right) $. $$ \left( \color{blue}{-3+6i}\right) \cdot \left( -6+6i\right) = 18-18i-36i+36i^2 $$ |
| ② | Combine like terms: $$ 18 \color{blue}{-18i} \color{blue}{-36i} +36i^2 = 36i^2 \color{blue}{-54i} +18 $$ |
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