Question
Answer
$$9-2i-(-3-2i)=12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9-2i-(-3-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}9-2i+3+2i \xlongequal{ } \\[1 em] & \xlongequal{ }9 -\cancel{2i}+3+ \cancel{2i} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}12\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -3-2i \right) = 3+2i $$ |
| ② | Combine like terms: $$ \color{blue}{9} \, \color{red}{ -\cancel{2i}} \,+ \color{blue}{3} + \, \color{red}{ \cancel{2i}} \, = \color{blue}{12} $$ |
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