The factors of ( a2 + 4b2 + 4b – 4ab – 2a – 8 ) are :

Given that :- The factors of a² + 4b² + 4b – 4ab – 2a – 8
= a² + 4b² – 4ab – 2a + 4b – 8
= (a – 2b) ² – 2(a – 2b) – 8
Let, (a – 2b) = x
∴ The given expression = x² – 2x – 8
= x² – 4x + 2x – 8
= x(x – 4) + 2(x – 4)
= (x – 4) (x + 2)
Putting the value of x , we get
∴ a² + 4b² + 4b – 4ab – 2a – 8 = (a – 2b – 4) (a – 2b + 2)
Therefore , required answer will be (a – 2b – 4) (a – 2b + 2) .