Question
Answer
$$5+4i-(12-6i)=10i-7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+4i-(12-6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+4i-12+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10i-7\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 12-6i \right) = -12+6i $$ |
| ② | Combine like terms: $$ \color{blue}{5} + \color{red}{4i} \color{blue}{-12} + \color{red}{6i} = \color{red}{10i} \color{blue}{-7} $$ |
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