To simplify the given expression, we will begin by multiplying the first two binomials using the distributive property:
(3x - 2)(3x + 2) = 3x * 3x + 3x * 2 - 2 * 3x - 2 * 2 = 9x² + 6x - 6x - 4 = 9x² - 4
Now, we will multiply this result with the third binomial:
(9x² - 4)(9x² + 4) = 9x² * 9x² + 9x² * 4 - 4 * 9x² - 4 * 4 = 81x⁴ + 36x² - 36x² - 16 = 81x⁴ - 16
Therefore, the simplified expression is 81x⁴ - 16.
