Question
Answer
$$5+5i-(-6-5i)-(2-6i)=16i+9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+5i-(-6-5i)-(2-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+5i+6+5i-(2-6i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10i+11-(2-6i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}10i+11-2+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}16i+9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -6-5i \right) = 6+5i $$ |
| ② | Combine like terms: $$ \color{blue}{5} + \color{red}{5i} + \color{blue}{6} + \color{red}{5i} = \color{red}{10i} + \color{blue}{11} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2-6i \right) = -2+6i $$ |
| ④ | Combine like terms: $$ \color{blue}{10i} + \color{red}{11} \color{red}{-2} + \color{blue}{6i} = \color{blue}{16i} + \color{red}{9} $$ |
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