We have to factorize the expression:
[tex]6x^2-2x[/tex]We start by dividing it by 2x:
[tex]6x^2-2x=2x(\frac{6x^2}{2x}-\frac{2x}{2x})=2x(3x-1)[/tex]Then, we can divide it by 3:
[tex]2x\cdot3\cdot(\frac{3x}{3}-\frac{1}{3})=6x(x-\frac{1}{3})[/tex]Answer: the factorized expression is 6x*(x-1/3)