Question
Answer
$$3+2i-(1-4i)=6i+2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3+2i-(1-4i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3+2i-1+4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6i+2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 1-4i \right) = -1+4i $$ |
| ② | Combine like terms: $$ \color{blue}{3} + \color{red}{2i} \color{blue}{-1} + \color{red}{4i} = \color{red}{6i} + \color{blue}{2} $$ |
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