Question
Answer
$$6-8i-(-3+5i)-2+i+4-7i=-19i+11$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6-8i-(-3+5i)-2+i+4-7i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6-8i+3-5i-2+i+4-7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-19i+11\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -3+5i \right) = 3-5i $$ |
| ② | Combine like terms: $$ \color{blue}{6} \color{red}{-8i} + \color{green}{3} \color{orange}{-5i} \color{blue}{-2} + \color{red}{i} + \color{blue}{4} \color{red}{-7i} = \color{red}{-19i} + \color{blue}{11} $$ |
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