Question
Answer
$$-(9i+6)-(-4-2i)=-7i-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(9i+6)-(-4-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-9i-6-(-4-2i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-9i-6+4+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-7i-2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(9i+6 \right) = -9i-6 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( -4-2i \right) = 4+2i $$ |
| ③ | Combine like terms: $$ \color{blue}{-9i} \color{red}{-6} + \color{red}{4} + \color{blue}{2i} = \color{blue}{-7i} \color{red}{-2} $$ |
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