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