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Question on: JAMB Mathematics - 2021

Factorize completely 81a\(^4\) - 16b\(^4\)

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)

Ask EduPadi AI for a detailed answer
Correct Option: C

81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)

= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))

9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)

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