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Mathematics
JAMB
Factorize completely 81a
4
- 16b
4
A.
(3a + 2b)(2a - 3b)(9a
2
+ 4b
2
)
B.
(3a - 2b)(2a - 3b)(4a
2
- 9b
2
)
C.
(3a - 2b)(3a + 2b)(9a
2
+ 4b
2
)
D.
(6a - 2b)(8a - 3b)(4a
3
- 9b
2
)
Correct Answer:
(3a - 2b)(3a + 2b)(9a
2
+ 4b
2
)
Explanation
81a
4
- 16b
4
= (9a
2
)
2
- (4b
2
)
2
= (9a
2
+ 4b
2
)(9a
2
- 4b
2
) N:B 9a
2
- 4b
2
= (3a - 2b)(3a+ 2b)
81a
4
- 16b
4
= (9a
2
)
2
- (4b
2
)
2
= (9a
2
+ 4b
2
)(9a
2
- 4b
2
) N:B 9a
2
- 4b
2
= (3a - 2b)(3a+ 2b)
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