Question
Answer
$$18+5i-(15+i)=4i+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}18+5i-(15+i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}18+5i-15-i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4i+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 15+i \right) = -15-i $$ |
| ② | Combine like terms: $$ \color{blue}{18} + \color{red}{5i} \color{blue}{-15} \color{red}{-i} = \color{red}{4i} + \color{blue}{3} $$ |
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