Question
Answer
$$(-6-5i)\cdot(-3+6)=-15i-18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-6-5i)\cdot(-3+6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(-6-5i)\cdot3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-18-15i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-15i-18\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{-3} + \color{blue}{6} = \color{blue}{3} $$ |
| ② | $$ \left( \color{blue}{-6-5i}\right) \cdot 3 = -18-15i $$ |
| ③ | Combine like terms: $$ -15i-18 = -15i-18 $$ |
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