Question
Answer
$$8i-9-(4+3i)-(2-i)=6i-15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8i-9-(4+3i)-(2-i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8i-9-4-3i-(2-i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5i-13-(2-i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}5i-13-2+i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}6i-15\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4+3i \right) = -4-3i $$ |
| ② | Combine like terms: $$ \color{blue}{8i} \color{red}{-9} \color{red}{-4} \color{blue}{-3i} = \color{blue}{5i} \color{red}{-13} $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2-i \right) = -2+i $$ |
| ④ | Combine like terms: $$ \color{blue}{5i} \color{red}{-13} \color{red}{-2} + \color{blue}{i} = \color{blue}{6i} \color{red}{-15} $$ |
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