How do you simplify (20x^3-20x^4)/(x^2-2x+1)?

May 28, 2018

$- \frac{20 {x}^{3}}{x - 1}$

Explanation:

Factor the numerator and denominator.
$\frac{\left(20 {x}^{3}\right) \left(1 - x\right)}{x - 1} ^ 2$
$\left(1 - x\right)$ can be rewritten as $- 1 \cdot \left(x - 1\right)$
Now you have $\frac{- \left(20 {x}^{3}\right) \left(x - 1\right)}{x - 1} ^ 2$
Cancel like terms.
$\frac{- 20 {x}^{3}}{x - 1}$