Question
Answer
$$-2+5i-(-5+6i)=-i+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-2+5i-(-5+6i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2+5i+5-6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-i+3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -5+6i \right) = 5-6i $$ |
| ② | Combine like terms: $$ \color{blue}{-2} + \color{red}{5i} + \color{blue}{5} \color{red}{-6i} = \color{red}{-i} + \color{blue}{3} $$ |
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