Tap the blue circles to see an explanation.
$$ \begin{aligned}-6+10i-(1-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-6+10i-1+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12i-7\end{aligned} $$ | |
① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 1-2i \right) = -1+2i $$ |
② | Combine like terms: $$ \color{blue}{-6} + \color{red}{10i} \color{blue}{-1} + \color{red}{2i} = \color{red}{12i} \color{blue}{-7} $$ |