Question
Answer
$$-i\cdot(3+4i)=-3i+4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-i\cdot(3+4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(3i+4i^2) \xlongequal{ } \\[1 em] & \xlongequal{ }-(3i-4) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3i+4\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{i} $ by $ \left( 3+4i\right) $ $$ \color{blue}{i} \cdot \left( 3+4i\right) = 3i+4i^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(3i-4 \right) = -3i+4 $$ |
This page was created using
Complex Expression calculator