Question
Answer
$$-(7-4i)-10-12i-(-18i+17)=10i-34$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(7-4i)-10-12i-(-18i+17)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-7+4i-10-12i-(-18i+17) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8i-17-(-18i+17) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8i-17+18i-17 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}10i-34\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(7-4i \right) = -7+4i $$ |
| ② | Combine like terms: $$ \color{blue}{-7} + \color{red}{4i} \color{blue}{-10} \color{red}{-12i} = \color{red}{-8i} \color{blue}{-17} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( -18i+17 \right) = 18i-17 $$ |
| ④ | Combine like terms: $$ \color{blue}{-8i} \color{red}{-17} + \color{blue}{18i} \color{red}{-17} = \color{blue}{10i} \color{red}{-34} $$ |
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