Answer:
[tex](2x - 1)(2x - 3)[/tex]
Step-by-step explanation:
1) Split the second term in 4x² - 8x + 3 into two terms.
[tex] {4x}^{2} - 2x - 6x + 3[/tex]
2) Factor out common terms in the first two terms, then in the last two terms.
[tex]2x(2x - 1) - 3(2x - 1)[/tex]
3) Factor out the common term 2x-1.
[tex](2x - 1)(2x - 3)[/tex]
Therefor, the answer is (2x - 1) (2x - 3).
