Question
Answer
$$i^3(2i^2-6i)=2i-6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}i^3(2i^2-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-i\cdot(-2-6i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2i+6i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2i-6\end{aligned} $$ | |
| ① | $$ i^3 = \color{blue}{i^2} \cdot i =
( \color{blue}{-1}) \cdot i =
- \, i $$$$ 2i^2 = 2 \cdot (-1) = -2 $$ |
| ② | Multiply $ \color{blue}{-i} $ by $ \left( -2-6i\right) $ $$ \color{blue}{-i} \cdot \left( -2-6i\right) = 2i+6i^2 $$ |
| ③ | $$ 6i^2 = 6 \cdot (-1) = -6 $$ |
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