Factorize completely: 6ax – 12by – 9ay + 8bx

A. (2a – 3b)(4x + 3y)
B. (3a + 4b)(2x – 3y)
C. (3a – 4b)(2x + 3y)
D. (2a + 3b)(4x -3y)

Correct Answer: Option B

B. (3a + 4b)(2x – 3y)

Explanation

6ax – 12by – 9ay + 8bx

= 6ax – 9ay + 8bx – 12by

= 3a(2x – 3y) + 4b(2x – 3y)

= (3a + 4b)(2x – 3y)