Question
Answer
$$10i^2-9i-(9+5i)=-14i-19$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}10i^2-9i-(9+5i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-10-9i-(9+5i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-10-9i-9-5i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-14i-19\end{aligned} $$ | |
| ① | $$ 10i^2 = 10 \cdot (-1) = -10 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 9+5i \right) = -9-5i $$ |
| ③ | Combine like terms: $$ \color{blue}{-10} \color{red}{-9i} \color{blue}{-9} \color{red}{-5i} = \color{red}{-14i} \color{blue}{-19} $$ |
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