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