Answer
$$5-i-(3-2i)=i+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5-i-(3-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5-i-3+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}i+2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3-2i \right) = -3+2i $$ |
| ② | Combine like terms: $$ \color{blue}{5} \color{red}{-i} \color{blue}{-3} + \color{red}{2i} = \color{red}{i} + \color{blue}{2} $$ |
This page was created using
Complex Expression calculator