Answer
$$(5x+2)(4x^2+9x+2)=20x^3+53x^2+28x+4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x+2)(4x^2+9x+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20x^3+45x^2+10x+8x^2+18x+4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20x^3+53x^2+28x+4\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x+2}\right) $ by each term in $ \left( 4x^2+9x+2\right) $. $$ \left( \color{blue}{5x+2}\right) \cdot \left( 4x^2+9x+2\right) = 20x^3+45x^2+10x+8x^2+18x+4 $$ |
| ② | Combine like terms: $$ 20x^3+ \color{blue}{45x^2} + \color{red}{10x} + \color{blue}{8x^2} + \color{red}{18x} +4 = 20x^3+ \color{blue}{53x^2} + \color{red}{28x} +4 $$ |
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