Answer
$$4x^3-2x^2+2x-3+5x^2(x-4)=9x^3-22x^2+2x-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4x^3-2x^2+2x-3+5x^2(x-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4x^3-2x^2+2x-3+5x^3-20x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9x^3-22x^2+2x-3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5x^2} $ by $ \left( x-4\right) $ $$ \color{blue}{5x^2} \cdot \left( x-4\right) = 5x^3-20x^2 $$ |
| ② | Combine like terms: $$ \color{blue}{4x^3} \color{red}{-2x^2} +2x-3+ \color{blue}{5x^3} \color{red}{-20x^2} = \color{blue}{9x^3} \color{red}{-22x^2} +2x-3 $$ |
This page was created using
Simplify polynomials calculator