Question

64x^2 - 9y^2 + 12yz - 4z^2 factorize​

Answer 1

Step-by-step explanation:

64x² - 9y² + 12yz - 4z²

(8x)² - (3y)² + 2*3*2*y*z - (2z)²

(8x)² - (3y)² + 2*3y*2z - (2z)²

(8x)² - [ (3y)² - 2*3y*2z + (2z)² ]

• a² - 2ab + b² = (a - b)²

(8x)² - (3y - 2z)²

• a² - b² = (a + b)(a - b)

[(8x) + (3y - 2z)] [(8x) - (3y - 2z)]

[8x - 3y - 2z] [8x - 3y + 2z]