Answer
$$(-3x^5-4x^4)(7x^2-2x+6)=-21x^7-22x^6-10x^5-24x^4$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-3x^5-4x^4)(7x^2-2x+6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-21x^7+6x^6-18x^5-28x^6+8x^5-24x^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-21x^7-22x^6-10x^5-24x^4\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-3x^5-4x^4}\right) $ by each term in $ \left( 7x^2-2x+6\right) $. $$ \left( \color{blue}{-3x^5-4x^4}\right) \cdot \left( 7x^2-2x+6\right) = -21x^7+6x^6-18x^5-28x^6+8x^5-24x^4 $$ |
| ② | Combine like terms: $$ -21x^7+ \color{blue}{6x^6} \color{red}{-18x^5} \color{blue}{-28x^6} + \color{red}{8x^5} -24x^4 = -21x^7 \color{blue}{-22x^6} \color{red}{-10x^5} -24x^4 $$ |
This page was created using
Simplify polynomials calculator