Given,

4n² – 8n + 3

Now first find the numbers whose-

Sum = - 8 and

Product = 4 × 3 = 12

Required numbers are 6 and 2,

So we get;

4n² – 8n + 3

= 4n² – 2n – 6n + 3

= 2n(2n – 1) – 3(2n – 3)

= (2n – 1)(2n – 3)