Question
Answer
$$8-i-(-82+2i)=-3i+90$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8-i-(-82+2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8-i+82-2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3i+90\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -82+2i \right) = 82-2i $$ |
| ② | Combine like terms: $$ \color{blue}{8} \color{red}{-i} + \color{blue}{82} \color{red}{-2i} = \color{red}{-3i} + \color{blue}{90} $$ |
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