Factorize 4a2 - 12ab - C2 + 9b2
A
4a(a - 3b) + (3b - c)2
B
(2a + 3b - c)(2a + 3b + c)
C
(2a - 3b + c)(2a - 3b - c)
D
4a(a - 3b) + (3b + c)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
4a2 - 12ab - C2 + 9b2
rearranges: (4a2 - 12ab + 9b2) - c2
(2a - 3b)(2a - 3b) - c2 = (2a - 3b)2 - c2
= (2a - 3b + c)(2a - 3b - c)
Source: Myschool Past Questions Archive (Record #31535)