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)
Correct Answer: Option C
Explanation
4a2 – 12ab – C2 + 9b2
rearranges: (4a2 – 12ab + 9b2) – c2
(2a – 3b)(2a – 3b) – c2 = (2a – 3b)2 – c2
= (2a – 3b + c)(2a – 3b – c)