Final answer:
The product of (4p – 11q)(4p + 11q) is 16p2 – 121q2, which follows the difference of squares pattern and does not match any of the supplied options due to an apparent typo.
Step-by-step explanation:
The expression (4p – 11q)(4p + 11q) is a product of two binomials that form a difference of squares. To find this product, we apply the formula (a – b)(a + b) = a2 – b2, where a is 4p and b is 11q. When we square 4p, we get 16p2, and when we square 11q, we get 121q2. Thus, the product simplifies to 16p2 – 121q2, which corresponds to none of the options given in the question since it seems there has been a typo in the options provided. However, the correct expression is indeed 16p2 – 121q2.