Factorize:

7(x-2y)²-25(x-2y)+12

Given,

7(x – 2y)² – 25 (x – 2y) + 12

Let a = (x – 2y),

So we have,

= 7a² – 25a + 12

= 7a² – 21a – 4a + 12

= 7a(a - 3) -4 (a - 3)

= (7a – 4) (a - 3)

Put a = (x – 2y)

= {7(x – 2y) – 4} (x – 2y - 3)

= (7x – 14y -4) (x – 2y - 3)