Answer
$$(-6-9i)\cdot(-11+7i)=-63i^2+57i+66$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-6-9i)\cdot(-11+7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}66-42i+99i-63i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-63i^2+57i+66\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-6-9i}\right) $ by each term in $ \left( -11+7i\right) $. $$ \left( \color{blue}{-6-9i}\right) \cdot \left( -11+7i\right) = 66-42i+99i-63i^2 $$ |
| ② | Combine like terms: $$ 66 \color{blue}{-42i} + \color{blue}{99i} -63i^2 = -63i^2+ \color{blue}{57i} +66 $$ |
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