Question
Answer
$$2i^3\cdot(5-12i)=-10i-24$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2i^3\cdot(5-12i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2i\cdot(5-12i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10i+24i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-10i-24\end{aligned} $$ | |
| ① | $$ 2i^3 = 2 \cdot \color{blue}{i^2} \cdot i =
2 \cdot ( \color{blue}{-1}) \cdot i =
-2 \cdot \, i $$ |
| ② | Multiply $ \color{blue}{-2i} $ by $ \left( 5-12i\right) $ $$ \color{blue}{-2i} \cdot \left( 5-12i\right) = -10i+24i^2 $$ |
| ③ | $$ 24i^2 = 24 \cdot (-1) = -24 $$ |
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