Answer:
(3x^2 - 1)(4x - 3)
Explanation:
Looking at the first two terms, we see that 3x^ 2 is a common factor:
12x^3 - 9x^2 - 4x + 3 => 3x^2(4x - 3) - (4x - 3)
Note how (4x - 3) shows up twice as a factor, once in the first two terms and once in the last two terms. Factoring (4x - 3) out, we get
(3x^2 - 1)(4x - 3)