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