factor the expression completely

3x^2-12x

To factor the expression 3x^2 - 12x completely, we can begin by factoring out the greatest common factor, which is 3x.

3x^2 - 12x = 3x(x - 4)

Now, the expression is partially factored as 3x(x - 4).

However, we can further factor the expression by factoring out the common factor inside the parentheses.

3x(x - 4) = 3x * 1(x - 4)

Therefore, the completely factored form of the expression 3x^2 - 12x is 3x(x - 4).