Question
Answer
$$3x^3(x+y)+2x^3(3x+5y)=9x^4+13x^3y$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3x^3(x+y)+2x^3(3x+5y)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3x^4+3x^3y+6x^4+10x^3y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9x^4+13x^3y\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{3x^3} $ by $ \left( x+y\right) $ $$ \color{blue}{3x^3} \cdot \left( x+y\right) = 3x^4+3x^3y $$Multiply $ \color{blue}{2x^3} $ by $ \left( 3x+5y\right) $ $$ \color{blue}{2x^3} \cdot \left( 3x+5y\right) = 6x^4+10x^3y $$ |
| ② | Combine like terms: $$ \color{blue}{3x^4} + \color{red}{3x^3y} + \color{blue}{6x^4} + \color{red}{10x^3y} = \color{blue}{9x^4} + \color{red}{13x^3y} $$ |
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