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