Question
Answer
$$2i-(3+4i)-(2-5i)=3i-5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2i-(3+4i)-(2-5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2i-3-4i-(2-5i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2i-3-(2-5i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-2i-3-2+5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}3i-5\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3+4i \right) = -3-4i $$ |
| ② | Combine like terms: $$ \color{blue}{2i} -3 \color{blue}{-4i} = \color{blue}{-2i} -3 $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2-5i \right) = -2+5i $$ |
| ④ | Combine like terms: $$ \color{blue}{-2i} \color{red}{-3} \color{red}{-2} + \color{blue}{5i} = \color{blue}{3i} \color{red}{-5} $$ |
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