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