Question
Answer
$$8-(2+7i)-3-i=-8i+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8-(2+7i)-3-i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8-2-7i-3-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-7i+6-3-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8i+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2+7i \right) = -2-7i $$ |
| ② | Combine like terms: $$ \color{blue}{8} \color{blue}{-2} -7i = -7i+ \color{blue}{6} $$ |
| ③ | Combine like terms: $$ \color{blue}{-7i} + \color{red}{6} \color{red}{-3} \color{blue}{-i} = \color{blue}{-8i} + \color{red}{3} $$ |
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