Question
Answer
$$5-7i-(-4+3i)=-10i+9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5-7i-(-4+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5-7i+4-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10i+9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -4+3i \right) = 4-3i $$ |
| ② | Combine like terms: $$ \color{blue}{5} \color{red}{-7i} + \color{blue}{4} \color{red}{-3i} = \color{red}{-10i} + \color{blue}{9} $$ |
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