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