Question
Answer
$$1+4i-(-5+7i)=-3i+6$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}1+4i-(-5+7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+4i+5-7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3i+6\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -5+7i \right) = 5-7i $$ |
| ② | Combine like terms: $$ \color{blue}{1} + \color{red}{4i} + \color{blue}{5} \color{red}{-7i} = \color{red}{-3i} + \color{blue}{6} $$ |
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