Answer
$$-2\cdot(-3+2i)=-4i+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2\cdot(-3+2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(-6+4i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6-4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-4i+6\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2} $ by $ \left( -3+2i\right) $ $$ \color{blue}{2} \cdot \left( -3+2i\right) = -6+4i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(-6+4i \right) = 6-4i $$ |
| ③ | Combine like terms: $$ -4i+6 = -4i+6 $$ |
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