Question

Factorize: 

4n² – 8n + 3

Answer 1

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)