Question
Answer
$$-(-1-10i)-9i+2=i+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(-1-10i)-9i+2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+10i-9i+2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}i+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(-1-10i \right) = 1+10i $$ |
| ② | Combine like terms: $$ \color{blue}{1} + \color{red}{10i} \color{red}{-9i} + \color{blue}{2} = \color{red}{i} + \color{blue}{3} $$ |
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