Question
Answer
$$-(-3+6i)-(-8-6i)=11$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(-3+6i)-(-8-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3-6i-(-8-6i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3-6i+8+6i \xlongequal{ } \\[1 em] & \xlongequal{ }3 -\cancel{6i}+8+ \cancel{6i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}11\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(-3+6i \right) = 3-6i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( -8-6i \right) = 8+6i $$ |
| ③ | Combine like terms: $$ \color{blue}{3} \, \color{red}{ -\cancel{6i}} \,+ \color{blue}{8} + \, \color{red}{ \cancel{6i}} \, = \color{blue}{11} $$ |
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