Question
Answer
$$-(8+6i)+1(7i-1)=i-9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(8+6i)+1(7i-1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-8-6i+1(7i-1) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8-6i+7i-1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}i-9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(8+6i \right) = -8-6i $$ |
| ② | Multiply $ \color{blue}{1} $ by $ \left( 7i-1\right) $ $$ \color{blue}{1} \cdot \left( 7i-1\right) = 7i-1 $$ |
| ③ | Combine like terms: $$ \color{blue}{-8} \color{red}{-6i} + \color{red}{7i} \color{blue}{-1} = \color{red}{i} \color{blue}{-9} $$ |
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