Question
Answer
$$1+7i-(12-8i)=15i-11$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}1+7i-(12-8i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+7i-12+8i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15i-11\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 12-8i \right) = -12+8i $$ |
| ② | Combine like terms: $$ \color{blue}{1} + \color{red}{7i} \color{blue}{-12} + \color{red}{8i} = \color{red}{15i} \color{blue}{-11} $$ |
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