Question
Answer
$$(6x+9)(4x^2+7x+1)=24x^3+78x^2+69x+9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(6x+9)(4x^2+7x+1)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}24x^3+42x^2+6x+36x^2+63x+9 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}24x^3+78x^2+69x+9\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{6x+9}\right) $ by each term in $ \left( 4x^2+7x+1\right) $. $$ \left( \color{blue}{6x+9}\right) \cdot \left( 4x^2+7x+1\right) = 24x^3+42x^2+6x+36x^2+63x+9 $$ |
| ② | Combine like terms: $$ 24x^3+ \color{blue}{42x^2} + \color{red}{6x} + \color{blue}{36x^2} + \color{red}{63x} +9 = 24x^3+ \color{blue}{78x^2} + \color{red}{69x} +9 $$ |
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