1. **State the problem:** We need to find the product of the binomials $$(9x - 6)(9x + 6)$$. 2. **Recall the formula:** This is a difference of squares pattern, where $$(a - b)(a + b) = a^2 - b^2$$. 3. **Identify terms:** Here, $a = 9x$ and $b = 6$. 4. **Apply the formula:** $$ (9x - 6)(9x + 6) = (9x)^2 - 6^2 $$ 5. **Calculate squares:** $$ (9x)^2 = 81x^2 $$ $$ 6^2 = 36 $$ 6. **Write the final expression:** $$ 81x^2 - 36 $$ So, the product is $81x^2 - 36$.