Question
Answer
$$-3+4i-5i^2+2i^3=2i+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3+4i-5i^2+2i^3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3+4i+5-2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}2i+2\end{aligned} $$ | |
| ① | $$ -5i^2 = -5 \cdot (-1) = 5 $$ |
| ② | $$ 2i^3 = 2 \cdot \color{blue}{i^2} \cdot i =
2 \cdot ( \color{blue}{-1}) \cdot i =
-2 \cdot \, i $$ |
| ③ | Combine like terms: $$ \color{blue}{4i} \color{blue}{-2i} + \color{red}{5} \color{red}{-3} = \color{blue}{2i} + \color{red}{2} $$ |
This page was created using
Complex Expression calculator