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2010
Mathematics
JAMB
If 9x
2
+ 6xy + 4y
2
is a factor of 27x
3
- 8y
3
, find the other factor.
A.
2y + 3x
B.
2y - 3x
C.
3x + 2y
D.
3x - 2y
Correct Answer:
3x - 2y
Explanation
27x
3
- 8y
3
= (3x - 2y)3 But 9x
2
+ 6xy + 4y
2
= (3x +2y)2 So, 27x
3
- 8y
3
= (3x - 2y)(3x - 2y)
2
Hence the other factor is 3x - 2y
27x
3
- 8y
3
= (3x - 2y)3 But 9x
2
+ 6xy + 4y
2
= (3x +2y)2 So, 27x
3
- 8y
3
= (3x - 2y)(3x - 2y)
2
Hence the other factor is 3x - 2y
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