(3х-2)(3х+2)(9х²+4)

To expand the given expression, we can use the distributive property:

(3x - 2)(3x + 2)(9x² + 4)

First, let's expand the first two binomials using the formula (a + b)(a - b) = a² - b²:

(3x - 2)(3x + 2) = (3x)² - 2² = 9x² - 4

Now, we have:

(9x² - 4)(9x² + 4)

Now, we can expand the remaining two binomials using the formula (a + b)(c + d) = ac + ad + bc + bd:

= 9x² * 9x² + 9x² * 4 - 4 * 9x² - 4 * 4 = 81x^4 + 36x² - 36x² - 16 = 81x^4 - 16

Therefore, the expanded form of the expression (3x - 2)(3x + 2)(9x² + 4) is 81x^4 - 16.