Question
Answer
$$-5+3i-(4-10i)=13i-9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5+3i-(4-10i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5+3i-4+10i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}13i-9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4-10i \right) = -4+10i $$ |
| ② | Combine like terms: $$ \color{blue}{-5} + \color{red}{3i} \color{blue}{-4} + \color{red}{10i} = \color{red}{13i} \color{blue}{-9} $$ |
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