1. **State the problem:** Expand the expression $$36y - 49(x + 1)(x + 1)$$. 2. **Recall the formula:** The expression involves expanding a binomial squared: $$(x + 1)^2 = x^2 + 2x + 1$$. 3. **Apply the formula:** Replace $$(x + 1)(x + 1)$$ with $$(x + 1)^2 = x^2 + 2x + 1$$. 4. **Rewrite the expression:** $$36y - 49(x^2 + 2x + 1)$$. 5. **Distribute the $$-49$$:** $$36y - 49x^2 - 98x - 49$$. 6. **Final expanded form:** $$36y - 49x^2 - 98x - 49$$. This is the fully expanded expression.