Answer
$$5+7i-(5-7i)=14i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+7i-(5-7i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+7i-5+7i \xlongequal{ } \\[1 em] & \xlongequal{ } \cancel{5}+7i -\cancel{5}+7i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}14i\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 5-7i \right) = -5+7i $$ |
| ② | Combine like terms: $$ \, \color{blue}{ \cancel{5}} \,+ \color{green}{7i} \, \color{blue}{ -\cancel{5}} \,+ \color{green}{7i} = \color{green}{14i} $$ |
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