Tap the blue circles to see an explanation.
| $$ \begin{aligned}7-10i-(3+30i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7-10i-3-30i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-40i+4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3+30i \right) = -3-30i $$ |
| ② | Combine like terms: $$ \color{blue}{7} \color{red}{-10i} \color{blue}{-3} \color{red}{-30i} = \color{red}{-40i} + \color{blue}{4} $$ |