Question
Answer
$$2y(y^2-5y-3)+y(y+1)=2y^3-9y^2-5y$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2y(y^2-5y-3)+y(y+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2y^3-10y^2-6y+y^2+y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2y^3-9y^2-5y\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{2y} $ by $ \left( y^2-5y-3\right) $ $$ \color{blue}{2y} \cdot \left( y^2-5y-3\right) = 2y^3-10y^2-6y $$Multiply $ \color{blue}{y} $ by $ \left( y+1\right) $ $$ \color{blue}{y} \cdot \left( y+1\right) = y^2+y $$ |
| ② | Combine like terms: $$ 2y^3 \color{blue}{-10y^2} \color{red}{-6y} + \color{blue}{y^2} + \color{red}{y} = 2y^3 \color{blue}{-9y^2} \color{red}{-5y} $$ |
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