1. **State the problem:** Factor the expression $$54x + 15y - 9$$. 2. **Identify the greatest common factor (GCF):** Look at the coefficients 54, 15, and 9. The GCF of 54, 15, and 9 is 3. 3. **Factor out the GCF:** $$54x + 15y - 9 = 3(18x + 5y - 3)$$ 4. **Check the options given:** - Left card: $$6(9x + 15y + 3)$$ - Right card: $$9(6x + 15y)$$ Neither matches the correct factorization. 5. **Conclusion:** The correct factorization is $$3(18x + 5y - 3)$$. This shows the importance of finding the greatest common factor and factoring it out correctly.