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