Question
Answer
$$7-(-9+2i)-(-17-i)=-i+33$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7-(-9+2i)-(-17-i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7+9-2i-(-17-i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2i+16-(-17-i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-2i+16+17+i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-i+33\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -9+2i \right) = 9-2i $$ |
| ② | Combine like terms: $$ \color{blue}{7} + \color{blue}{9} -2i = -2i+ \color{blue}{16} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( -17-i \right) = 17+i $$ |
| ④ | Combine like terms: $$ \color{blue}{-2i} + \color{red}{16} + \color{red}{17} + \color{blue}{i} = \color{blue}{-i} + \color{red}{33} $$ |
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