Question
Answer
$$8i-(6-3i)+4-4i=7i-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8i-(6-3i)+4-4i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8i-6+3i+4-4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}11i-6+4-4i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}7i-2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6-3i \right) = -6+3i $$ |
| ② | Combine like terms: $$ \color{blue}{8i} -6+ \color{blue}{3i} = \color{blue}{11i} -6 $$ |
| ③ | Combine like terms: $$ \color{blue}{11i} \color{red}{-6} + \color{red}{4} \color{blue}{-4i} = \color{blue}{7i} \color{red}{-2} $$ |
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