Question
Answer
$$(2x^2-5x+5)(x^2+9)=2x^4-5x^3+23x^2-45x+45$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2x^2-5x+5)(x^2+9)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x^4+18x^2-5x^3-45x+5x^2+45 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x^4-5x^3+23x^2-45x+45\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2x^2-5x+5}\right) $ by each term in $ \left( x^2+9\right) $. $$ \left( \color{blue}{2x^2-5x+5}\right) \cdot \left( x^2+9\right) = 2x^4+18x^2-5x^3-45x+5x^2+45 $$ |
| ② | Combine like terms: $$ 2x^4+ \color{blue}{18x^2} -5x^3-45x+ \color{blue}{5x^2} +45 = 2x^4-5x^3+ \color{blue}{23x^2} -45x+45 $$ |
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