1. **State the problem:** Simplify the expression $$(6x-3)(2x-1)$$. 2. **Formula used:** To simplify the product of two binomials, use the distributive property (also known as FOIL method for binomials): $$ (a+b)(c+d) = ac + ad + bc + bd $$ 3. **Apply the distributive property:** $$ (6x-3)(2x-1) = 6x \cdot 2x + 6x \cdot (-1) + (-3) \cdot 2x + (-3) \cdot (-1) $$ 4. **Calculate each term:** $$ 6x \cdot 2x = 12x^2 $$ $$ 6x \cdot (-1) = -6x $$ $$ (-3) \cdot 2x = -6x $$ $$ (-3) \cdot (-1) = 3 $$ 5. **Combine like terms:** $$ 12x^2 - 6x - 6x + 3 = 12x^2 - 12x + 3 $$ 6. **Final simplified expression:** $$ 12x^2 - 12x + 3 $$ This is the simplified form of the product of the two binomials.