Question
Answer
$$8+7i-(2+3i)+2+6i=10i+8$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8+7i-(2+3i)+2+6i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8+7i-2-3i+2+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4i+6+2+6i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}10i+8\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2+3i \right) = -2-3i $$ |
| ② | Combine like terms: $$ \color{blue}{8} + \color{red}{7i} \color{blue}{-2} \color{red}{-3i} = \color{red}{4i} + \color{blue}{6} $$ |
| ③ | Combine like terms: $$ \color{blue}{4i} + \color{red}{6} + \color{red}{2} + \color{blue}{6i} = \color{blue}{10i} + \color{red}{8} $$ |
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