Tap the blue circles to see an explanation.
$$ \begin{aligned}-4+5i-(-2-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4+5i+2+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}11i-2\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -2-6i \right) = 2+6i $$ |
② | Combine like terms: $$ \color{blue}{-4} + \color{red}{5i} + \color{blue}{2} + \color{red}{6i} = \color{red}{11i} \color{blue}{-2} $$ |