Tap the blue circles to see an explanation.
| $$ \begin{aligned}-1-3i-(-10+5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-1-3i+10-5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8i+9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -10+5i \right) = 10-5i $$ |
| ② | Combine like terms: $$ \color{blue}{-1} \color{red}{-3i} + \color{blue}{10} \color{red}{-5i} = \color{red}{-8i} + \color{blue}{9} $$ |