Answer
$$7+6i-(8-3i)=9i-1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7+6i-(8-3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7+6i-8+3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9i-1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8-3i \right) = -8+3i $$ |
| ② | Combine like terms: $$ \color{blue}{7} + \color{red}{6i} \color{blue}{-8} + \color{red}{3i} = \color{red}{9i} \color{blue}{-1} $$ |
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