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