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