Answer
$$4i\cdot(2-3i)=8i+12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4i\cdot(2-3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8i-12i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8i+12\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4i} $ by $ \left( 2-3i\right) $ $$ \color{blue}{4i} \cdot \left( 2-3i\right) = 8i-12i^2 $$ |
| ② | $$ -12i^2 = -12 \cdot (-1) = 12 $$ |
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