Question
Answer
$$(7-4x^3+3x^2)(5x^2-10+2x^3)=-8x^6-14x^5+15x^4+54x^3+5x^2-70$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7-4x^3+3x^2)(5x^2-10+2x^3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-8x^6-14x^5+15x^4+54x^3+5x^2-70\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7-4x^3+3x^2}\right) $ by each term in $ \left( 5x^2-10+2x^3\right) $. $$ \left( \color{blue}{7-4x^3+3x^2}\right) \cdot \left( 5x^2-10+2x^3\right) = 35x^2-70+14x^3-20x^5+40x^3-8x^6+15x^4-30x^2+6x^5 $$ |
| ② | Combine like terms: $$ \color{blue}{35x^2} -70+ \color{red}{14x^3} \color{green}{-20x^5} + \color{red}{40x^3} -8x^6+15x^4 \color{blue}{-30x^2} + \color{green}{6x^5} = \\ = -8x^6 \color{green}{-14x^5} +15x^4+ \color{red}{54x^3} + \color{blue}{5x^2} -70 $$ |
This page was created using
Simplify polynomials calculator