Question
Answer
$$-8\cdot(9-9i)=72i-72$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-8\cdot(9-9i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(72-72i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-72+72i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}72i-72\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{8} $ by $ \left( 9-9i\right) $ $$ \color{blue}{8} \cdot \left( 9-9i\right) = 72-72i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(72-72i \right) = -72+72i $$ |
| ③ | Combine like terms: $$ 72i-72 = 72i-72 $$ |
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