Question
Answer
$$2-5i-(-7-9i)=4i+9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2-5i-(-7-9i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2-5i+7+9i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4i+9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -7-9i \right) = 7+9i $$ |
| ② | Combine like terms: $$ \color{blue}{2} \color{red}{-5i} + \color{blue}{7} + \color{red}{9i} = \color{red}{4i} + \color{blue}{9} $$ |
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