1. **State the problem:** Find the product of the binomials $$(7m + 8n)(7m - 8n)$$. 2. **Recall the formula:** This is a difference of squares pattern, which states: $$ (a + b)(a - b) = a^2 - b^2 $$ 3. **Identify terms:** Here, $a = 7m$ and $b = 8n$. 4. **Apply the formula:** $$ (7m + 8n)(7m - 8n) = (7m)^2 - (8n)^2 $$ 5. **Calculate squares:** $$ (7m)^2 = 49m^2 $$ $$ (8n)^2 = 64n^2 $$ 6. **Write the final product:** $$ 49m^2 - 64n^2 $$ **Answer:** The product is $49m^2 - 64n^2$.