Question
Answer
$$4i(3i-2)=-8i-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4i(3i-2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12i^2-8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-12-8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8i-12\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4i} $ by $ \left( 3i-2\right) $ $$ \color{blue}{4i} \cdot \left( 3i-2\right) = 12i^2-8i $$ |
| ② | $$ 12i^2 = 12 \cdot (-1) = -12 $$ |
| ③ | Combine like terms: $$ -8i-12 = -8i-12 $$ |
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