Question
Answer
$$-5n^3(n+8)=-5n^4-40n^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5n^3(n+8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(5n^4+40n^3) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-5n^4-40n^3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5n^3} $ by $ \left( n+8\right) $ $$ \color{blue}{5n^3} \cdot \left( n+8\right) = 5n^4+40n^3 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(5n^4+40n^3 \right) = -5n^4-40n^3 $$ |
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