Question
Answer
$$6-5i-(9-2i)=-3i-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6-5i-(9-2i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6-5i-9+2i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3i-3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9-2i \right) = -9+2i $$ |
| ② | Combine like terms: $$ \color{blue}{6} \color{red}{-5i} \color{blue}{-9} + \color{red}{2i} = \color{red}{-3i} \color{blue}{-3} $$ |
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