1. **State the problem:** Expand the expression $ (2x-1)(x-6) $. 2. **Recall the distributive property (FOIL method):** $ (a+b)(c+d) = ac + ad + bc + bd $ 3. **Apply the distributive property:** $ (2x-1)(x-6) = 2x \cdot x + 2x \cdot (-6) + (-1) \cdot x + (-1) \cdot (-6) $ 4. **Calculate each term:** $ 2x \cdot x = 2x^2 $ $ 2x \cdot (-6) = -12x $ $ (-1) \cdot x = -x $ $ (-1) \cdot (-6) = 6 $ 5. **Combine all terms:** $ 2x^2 - 12x - x + 6 $ 6. **Simplify like terms:** $ 2x^2 - \cancel{12x} - \cancel{x} + 6 = 2x^2 - 13x + 6 $ **Final answer:** $$ 2x^2 - 13x + 6 $$