Question
Answer
$$10-i-(3-5i)=4i+7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}10-i-(3-5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10-i-3+5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4i+7\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3-5i \right) = -3+5i $$ |
| ② | Combine like terms: $$ \color{blue}{10} \color{red}{-i} \color{blue}{-3} + \color{red}{5i} = \color{red}{4i} + \color{blue}{7} $$ |
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