Factorize completely ac – 2bc – a + 4b2
-
A.
(a – 2b)(c – a – 2b) -
B.
(a – 2b)(c + a +2b) -
C.
(a – 2b)(c – a + 2b) -
D.
(a – 2b)(c + a – 2b)
Correct Answer: Option A
Explanation
ac – 2bc – a2 + 4b2
ac – 2bc – (a2 – 4b2)
ac – 2bc – (a2 -(2b)2)
c(a – 2b) – {(a – 2b)(a + 2b)}
(a – 2b)(c – (a + 2b))
(a – 2b)(c – a – 2b)