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