(6x3-24x2) : 6x2

Let's simplify the expression step by step:

Given expression: \[ \frac{6x^3 - 24x^2}{6x^2} \]

Step 1: Factor the numerator if possible \[ 6x^3 - 24x^2 = 6x^2 (x - 4) \]

Step 2: Write the expression with factored numerator \[ \frac{6x^2 (x - 4)}{6x^2} \]

Step 3: Cancel common factors (assuming \(x \neq 0\)) \[ x - 4 \]

Answer: \[ \boxed{x - 4} \]

Let me know if you'd like further explanation!