Factorize completely ac - 2bc - a\(^2\) + 4b\(^2\)
A
(a - 2b)(c - a - 2b)
B
(a - 2b)(c + a +2b)
C
(a - 2b)(c - a + 2b)
D
(a - 2b)(c + a - 2b)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
ac - 2bc - a\(^2\) + 4b\(^2\)
ac - 2bc - (a\(^2\) - 4b\(^2\))
ac - 2bc - (a\(^2\) -(2b)\(^2\))
c(a - 2b) - {(a - 2b)(a + 2b)}
(a - 2b)(c - (a + 2b))
(a - 2b)(c - a - 2b)
Source: Myschool Past Questions Archive (Record #8205)