Question

12(x+1)²-25(x+1)(y+2)+12(y+2)²​

Answer 1

Question :

Factorize -

12 (x + 1)² - 25 (x + 1) (y + 2) + 12 (y + 2)²

Solution :

12 (x + 1)² - 25 (x + 1) (y + 2) + 12 (y + 2)²

= 12 (x + 1)² - 16 (x + 1) (y + 2)

- 9 (x + 1) (y + 2) + 12 (y + 2)²

= 4 (x + 1) {3 (x + 1) - 4 (y + 2)}

- 3 (y + 2) {3 (x + 1) - 4 (y + 2)}

= {3 (x + 1) - 4 (y + 2)} {4 (x + 1) - 3 (y + 2)}

= (3x + 3 - 4y - 8) (4x + 4 - 3y - 6)

= (3x - 4y - 5) (4x - 3y - 2) ,

which is the required factorization.