Question
Answer
$$4-i-(-12+5i)=-6i+16$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4-i-(-12+5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4-i+12-5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-6i+16\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -12+5i \right) = 12-5i $$ |
| ② | Combine like terms: $$ \color{blue}{4} \color{red}{-i} + \color{blue}{12} \color{red}{-5i} = \color{red}{-6i} + \color{blue}{16} $$ |
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