Question
Answer
$$-9w^2(9w^2+8w-6)=-81w^4-72w^3+54w^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-9w^2(9w^2+8w-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(81w^4+72w^3-54w^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-81w^4-72w^3+54w^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{9w^2} $ by $ \left( 9w^2+8w-6\right) $ $$ \color{blue}{9w^2} \cdot \left( 9w^2+8w-6\right) = 81w^4+72w^3-54w^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(81w^4+72w^3-54w^2 \right) = -81w^4-72w^3+54w^2 $$ |
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