Question
Answer
$$1+8i-(6+3i)=5i-5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}1+8i-(6+3i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1+8i-6-3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5i-5\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6+3i \right) = -6-3i $$ |
| ② | Combine like terms: $$ \color{blue}{1} + \color{red}{8i} \color{blue}{-6} \color{red}{-3i} = \color{red}{5i} \color{blue}{-5} $$ |
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