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