1. **State the problem:** Simplify the expression $ (6x - 5y)(2x - 3) $. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by each term in the second parenthesis. 3. Multiply $6x$ by $2x$: $$6x \times 2x = 12x^2$$ 4. Multiply $6x$ by $-3$: $$6x \times (-3) = -18x$$ 5. Multiply $-5y$ by $2x$: $$-5y \times 2x = -10xy$$ 6. Multiply $-5y$ by $-3$: $$-5y \times (-3) = 15y$$ 7. **Combine all terms:** $$12x^2 - 18x - 10xy + 15y$$ 8. **Final simplified expression:** $$12x^2 - 18x - 10xy + 15y$$ This is the expanded and simplified form of the given expression.