Question
Answer
$$-4y^3(5y^2+6y-10)=-20y^5-24y^4+40y^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-4y^3(5y^2+6y-10)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(20y^5+24y^4-40y^3) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-20y^5-24y^4+40y^3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4y^3} $ by $ \left( 5y^2+6y-10\right) $ $$ \color{blue}{4y^3} \cdot \left( 5y^2+6y-10\right) = 20y^5+24y^4-40y^3 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(20y^5+24y^4-40y^3 \right) = -20y^5-24y^4+40y^3 $$ |
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