Question
Answer
$$-6p^2(-p^3+2p-4)=6p^5-12p^3+24p^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-6p^2(-p^3+2p-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(-6p^5+12p^3-24p^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6p^5-12p^3+24p^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{6p^2} $ by $ \left( -p^3+2p-4\right) $ $$ \color{blue}{6p^2} \cdot \left( -p^3+2p-4\right) = -6p^5+12p^3-24p^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(-6p^5+12p^3-24p^2 \right) = 6p^5-12p^3+24p^2 $$ |
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