1. **Stating the problem:** Simplify the expression $$(3 - 7)(3^2 - 7^2)$$. 2. **Recall the formulas and rules:** - The difference of squares formula: $$a^2 - b^2 = (a - b)(a + b)$$. - Simplify step-by-step by evaluating powers and products. 3. **Calculate each part:** - Calculate $3 - 7 = -4$. - Calculate $3^2 = 9$ and $7^2 = 49$. - Calculate $3^2 - 7^2 = 9 - 49 = -40$. 4. **Multiply the results:** - Multiply $-4 \times -40 = 160$. 5. **Final answer:** $$\boxed{160}$$