Question
Answer
$$(2x^2+x+8)(x^2+13x+30)=2x^4+27x^3+81x^2+134x+240$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2x^2+x+8)(x^2+13x+30)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x^4+27x^3+81x^2+134x+240\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2x^2+x+8}\right) $ by each term in $ \left( x^2+13x+30\right) $. $$ \left( \color{blue}{2x^2+x+8}\right) \cdot \left( x^2+13x+30\right) = 2x^4+26x^3+60x^2+x^3+13x^2+30x+8x^2+104x+240 $$ |
| ② | Combine like terms: $$ 2x^4+ \color{blue}{26x^3} + \color{red}{60x^2} + \color{blue}{x^3} + \color{green}{13x^2} + \color{orange}{30x} + \color{green}{8x^2} + \color{orange}{104x} +240 = \\ = 2x^4+ \color{blue}{27x^3} + \color{green}{81x^2} + \color{orange}{134x} +240 $$ |
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