Question
Answer
$$-8+2i-(2-4i)+5+4i=10i-5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8+2i-(2-4i)+5+4i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-8+2i-2+4i+5+4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6i-10+5+4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}10i-5\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2-4i \right) = -2+4i $$ |
| ② | Combine like terms: $$ \color{blue}{-8} + \color{red}{2i} \color{blue}{-2} + \color{red}{4i} = \color{red}{6i} \color{blue}{-10} $$ |
| ③ | Combine like terms: $$ \color{blue}{6i} \color{red}{-10} + \color{red}{5} + \color{blue}{4i} = \color{blue}{10i} \color{red}{-5} $$ |
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