Question
Answer
$$5+9i-(9+i)=8i-4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+9i-(9+i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+9i-9-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8i-4\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9+i \right) = -9-i $$ |
| ② | Combine like terms: $$ \color{blue}{5} + \color{red}{9i} \color{blue}{-9} \color{red}{-i} = \color{red}{8i} \color{blue}{-4} $$ |
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