Question
Answer
$$18i-(19-4i)+4-14i=8i-15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}18i-(19-4i)+4-14i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}18i-19+4i+4-14i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}22i-19+4-14i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}8i-15\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 19-4i \right) = -19+4i $$ |
| ② | Combine like terms: $$ \color{blue}{18i} -19+ \color{blue}{4i} = \color{blue}{22i} -19 $$ |
| ③ | Combine like terms: $$ \color{blue}{22i} \color{red}{-19} + \color{red}{4} \color{blue}{-14i} = \color{blue}{8i} \color{red}{-15} $$ |
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