Tap the blue circles to see an explanation.
$$ \begin{aligned}5+2i-(-6-3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+2i+6+3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5i+11\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -6-3i \right) = 6+3i $$ |
② | Combine like terms: $$ \color{blue}{5} + \color{red}{2i} + \color{blue}{6} + \color{red}{3i} = \color{red}{5i} + \color{blue}{11} $$ |