Question
Answer
$$(2x-7)(55x^3+903x^2-583x-663)=110x^4+1421x^3-7487x^2+2755x+4641$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2x-7)(55x^3+903x^2-583x-663)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}110x^4+1421x^3-7487x^2+2755x+4641\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2x-7}\right) $ by each term in $ \left( 55x^3+903x^2-583x-663\right) $. $$ \left( \color{blue}{2x-7}\right) \cdot \left( 55x^3+903x^2-583x-663\right) = \\ = 110x^4+1806x^3-1166x^2-1326x-385x^3-6321x^2+4081x+4641 $$ |
| ② | Combine like terms: $$ 110x^4+ \color{blue}{1806x^3} \color{red}{-1166x^2} \color{green}{-1326x} \color{blue}{-385x^3} \color{red}{-6321x^2} + \color{green}{4081x} +4641 = \\ = 110x^4+ \color{blue}{1421x^3} \color{red}{-7487x^2} + \color{green}{2755x} +4641 $$ |
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