Tap the blue circles to see an explanation.
$$ \begin{aligned}-3+6i-(-5-3i)-8& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-3+6i+5+3i-8 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9i-6\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -5-3i \right) = 5+3i $$ |
② | Combine like terms: $$ \color{blue}{-3} + \color{red}{6i} + \color{green}{5} + \color{red}{3i} \color{green}{-8} = \color{red}{9i} \color{green}{-6} $$ |