Question
Answer
$$5+2i-(-7+i)=i+12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+2i-(-7+i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+2i+7-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}i+12\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -7+i \right) = 7-i $$ |
| ② | Combine like terms: $$ \color{blue}{5} + \color{red}{2i} + \color{blue}{7} \color{red}{-i} = \color{red}{i} + \color{blue}{12} $$ |
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