Question
Answer
$$10+15i-(48-30i)=45i-38$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}10+15i-(48-30i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10+15i-48+30i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}45i-38\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 48-30i \right) = -48+30i $$ |
| ② | Combine like terms: $$ \color{blue}{10} + \color{red}{15i} \color{blue}{-48} + \color{red}{30i} = \color{red}{45i} \color{blue}{-38} $$ |
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