Question
Answer
$$40+3i-(-1+i)=2i+41$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}40+3i-(-1+i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}40+3i+1-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2i+41\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -1+i \right) = 1-i $$ |
| ② | Combine like terms: $$ \color{blue}{40} + \color{red}{3i} + \color{blue}{1} \color{red}{-i} = \color{red}{2i} + \color{blue}{41} $$ |
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