Question
Answer
$$-6p(12p^2-7p+5)=-72p^3+42p^2-30p$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-6p(12p^2-7p+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(72p^3-42p^2+30p) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-72p^3+42p^2-30p\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{6p} $ by $ \left( 12p^2-7p+5\right) $ $$ \color{blue}{6p} \cdot \left( 12p^2-7p+5\right) = 72p^3-42p^2+30p $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(72p^3-42p^2+30p \right) = -72p^3+42p^2-30p $$ |
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