Question
Answer
$$-(-1.2+8.7i)-(9.3+8.2i)=-16i-8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(-1.2+8.7i)-(9.3+8.2i)& \xlongequal{ }-(-1.2+8i)-(9.3+8i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1-8i-(9.3+8i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}1-8i-9-8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-16i-8\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(-1+8i \right) = 1-8i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9+8i \right) = -9-8i $$ |
| ③ | Combine like terms: $$ \color{blue}{1} \color{red}{-8i} \color{blue}{-9} \color{red}{-8i} = \color{red}{-16i} \color{blue}{-8} $$ |
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