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