Question
Answer
$$5+2i-(-2-i+3+4i)=-i+4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+2i-(-2-i+3+4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+2i-(3i+1) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5+2i-3i-1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-i+4\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{-2} \color{red}{-i} + \color{blue}{3} + \color{red}{4i} = \color{red}{3i} + \color{blue}{1} $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3i+1 \right) = -3i-1 $$ |
| ③ | Combine like terms: $$ \color{blue}{5} + \color{red}{2i} \color{red}{-3i} \color{blue}{-1} = \color{red}{-i} + \color{blue}{4} $$ |
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