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2021

Mathematics

JAMB

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: (3a - 2b)(3a + 2b)(9a2 + 4b2)

Explanation

81a4 - 16b4 = (9a2)2 - (4b2)2 = (9a2 + 4b2)(9a2 - 4b2) N:B 9a2 - 4b2 = (3a - 2b)(3a+ 2b)

81a4 - 16b4 = (9a2)2 - (4b2)2 = (9a2 + 4b2)(9a2 - 4b2) N:B 9a2 - 4b2 = (3a - 2b)(3a+ 2b)
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