Answer:
4x - 3)(3x^2 - 1).
Explanation:
To factorize the expression 12x^3 - 9x^2 - 4x + 3, we can start by grouping the terms:
(12x^3 - 9x^2) - (4x - 3)
Now, we can factor out common terms from each group:
3x^2(4x - 3) - 1(4x - 3)
Notice that the expression (4x - 3) is common to both terms. We can now factor it out:
(4x - 3)(3x^2 - 1)
Therefore, the factored form of 12x^3 - 9x^2 - 4x + 3 is (4x - 3)(3x^2 - 1).