Tap the blue circles to see an explanation.
| $$ \begin{aligned}4+4i-(-9+i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4+4i+9-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3i+13\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -9+i \right) = 9-i $$ |
| ② | Combine like terms: $$ \color{blue}{4} + \color{red}{4i} + \color{blue}{9} \color{red}{-i} = \color{red}{3i} + \color{blue}{13} $$ |