Answer
$$7x^3y(x^2y-3x+2)+5x^4y=7x^5y^2-16x^4y+14x^3y$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7x^3y(x^2y-3x+2)+5x^4y& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x^5y^2-21x^4y+14x^3y+5x^4y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7x^5y^2-16x^4y+14x^3y\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{7x^3y} $ by $ \left( x^2y-3x+2\right) $ $$ \color{blue}{7x^3y} \cdot \left( x^2y-3x+2\right) = 7x^5y^2-21x^4y+14x^3y $$ |
| ② | Combine like terms: $$ 7x^5y^2 \color{blue}{-21x^4y} +14x^3y+ \color{blue}{5x^4y} = 7x^5y^2 \color{blue}{-16x^4y} +14x^3y $$ |
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