Question
Answer
$$3-8i-(-13+9i)=-17i+16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3-8i-(-13+9i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3-8i+13-9i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-17i+16\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -13+9i \right) = 13-9i $$ |
| ② | Combine like terms: $$ \color{blue}{3} \color{red}{-8i} + \color{blue}{13} \color{red}{-9i} = \color{red}{-17i} + \color{blue}{16} $$ |
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