Answer
$$-9i(6i+8)=-72i+54$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-9i(6i+8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(54i^2+72i) \xlongequal{ } \\[1 em] & \xlongequal{ }-(-54+72i) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}54-72i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-72i+54\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{9i} $ by $ \left( 6i+8\right) $ $$ \color{blue}{9i} \cdot \left( 6i+8\right) = 54i^2+72i $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(-54+72i \right) = 54-72i $$ |
| ③ | Combine like terms: $$ -72i+54 = -72i+54 $$ |
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