# How do you factor 6x^2-12x?

Jun 10, 2015

$6 {x}^{2} - 12 x = 6 x \left(x - 2\right)$

#### Explanation:

Both terms are divisible by $6$ and by $x$. once you have separated those factors out, only a linear term remains.

$6 {x}^{2} - 12 x$

$= \left(6 \cdot x \cdot x\right) - \left(6 \cdot x \cdot 2\right)$

$= 6 \cdot x \cdot \left(x - 2\right)$

$= 6 x \left(x - 2\right)$