Answer
$$12-2i-(6-7i)=5i+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}12-2i-(6-7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12-2i-6+7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5i+6\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6-7i \right) = -6+7i $$ |
| ② | Combine like terms: $$ \color{blue}{12} \color{red}{-2i} \color{blue}{-6} + \color{red}{7i} = \color{red}{5i} + \color{blue}{6} $$ |
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