# How do you simplify (4x-2x^2)/(5x-10)?

$\frac{4 x - 2 {x}^{2}}{5 x - 10} = - \frac{2 x \cdot \left(2 - x\right)}{5 \cdot \left(2 - x\right)} = - \frac{2 x \cdot \cancel{2 - x}}{5 \cdot \cancel{2 - x}} = - \frac{2 x}{5}$