Answer
$$-2+4i-(3-6i)=10i-5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2+4i-(3-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2+4i-3+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10i-5\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3-6i \right) = -3+6i $$ |
| ② | Combine like terms: $$ \color{blue}{-2} + \color{red}{4i} \color{blue}{-3} + \color{red}{6i} = \color{red}{10i} \color{blue}{-5} $$ |
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