Question
Answer
$$-6+5i-(3-i)=6i-9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-6+5i-(3-i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-6+5i-3+i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6i-9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3-i \right) = -3+i $$ |
| ② | Combine like terms: $$ \color{blue}{-6} + \color{red}{5i} \color{blue}{-3} + \color{red}{i} = \color{red}{6i} \color{blue}{-9} $$ |
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