Question
Answer
$$12-10i-(-7+3i)=-13i+19$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}12-10i-(-7+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}12-10i+7-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-13i+19\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -7+3i \right) = 7-3i $$ |
| ② | Combine like terms: $$ \color{blue}{12} \color{red}{-10i} + \color{blue}{7} \color{red}{-3i} = \color{red}{-13i} + \color{blue}{19} $$ |
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