(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!