Question
Answer
$$6-(-5+4i)-(-13-i)=-3i+24$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6-(-5+4i)-(-13-i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6+5-4i-(-13-i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-4i+11-(-13-i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-4i+11+13+i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-3i+24\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -5+4i \right) = 5-4i $$ |
| ② | Combine like terms: $$ \color{blue}{6} + \color{blue}{5} -4i = -4i+ \color{blue}{11} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( -13-i \right) = 13+i $$ |
| ④ | Combine like terms: $$ \color{blue}{-4i} + \color{red}{11} + \color{red}{13} + \color{blue}{i} = \color{blue}{-3i} + \color{red}{24} $$ |
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