Question
Answer
$$-(8-5i)-(9i-10)=-4i+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(8-5i)-(9i-10)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-8+5i-(9i-10) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8+5i-9i+10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-4i+2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(8-5i \right) = -8+5i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9i-10 \right) = -9i+10 $$ |
| ③ | Combine like terms: $$ \color{blue}{-8} + \color{red}{5i} \color{red}{-9i} + \color{blue}{10} = \color{red}{-4i} + \color{blue}{2} $$ |
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