Final answer:
The expression (16x² - 9) simplifies to (4x + 3)(4x - 3), as it is a difference of squares with the square roots being 4x and 3 respectively.
Step-by-step explanation:
To simplify the expression (16x² - 9), we can recognize it as a difference of squares. A difference of squares is a special case and can be factored into the form (a+b)(a-b), where a and b are the square roots of the first and second terms respectively. In this case, the first term is 16x², which is a perfect square of (4x)² and the second term is 9, which is a perfect square of 3².
Therefore, the expression (16x² - 9) can be factored as:
(4x + 3)(4x - 3)