Factorize completely 81a4 – 16b4
-
A.
(3a + 2b)(2a – 3b)(9a2 + 4b2) -
B.
(3a – 2b)(2a – 3b)(4a2 – 9b2) -
C.
(3a – 2b)(3a + 2b)(9a2 + 4b2) -
D.
(6a – 2b)(8a – 3b)(4a3 – 9b2)
Correct Answer: Option C
Explanation
81a4 – 16b4 = (9a2)2 – (4b2)2
= (9a2 + 4b2)(9a2 – 4b2)
N:B 9a2 – 4b2 = (3a – 2b)(3a + 2b)