Answer
$$9+i-(8+3i)=-2i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9+i-(8+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}9+i-8-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2i+1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8+3i \right) = -8-3i $$ |
| ② | Combine like terms: $$ \color{blue}{9} + \color{red}{i} \color{blue}{-8} \color{red}{-3i} = \color{red}{-2i} + \color{blue}{1} $$ |
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