Answer
$$-3+4i-(6-5i)=9i-9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-3+4i-(6-5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-3+4i-6+5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9i-9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6-5i \right) = -6+5i $$ |
| ② | Combine like terms: $$ \color{blue}{-3} + \color{red}{4i} \color{blue}{-6} + \color{red}{5i} = \color{red}{9i} \color{blue}{-9} $$ |
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