If 9x2 6xy 4y2 is a factor of 27x3 - 8y3 find t... - JAMB Mathematics 2010 Question
If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3, find the other factor.
A
2y + 3x
B
2y - 3x
C
3x + 2y
D
3x - 2y
correct option: d
27x3 - 8y3 = (3x - 2y)3
But 9x2 + 6xy + 4y2 = (3x +2y)2
So, 27x3 - 8y3 = (3x - 2y)(3x - 2y)2
Hence the other factor is 3x - 2y
But 9x2 + 6xy + 4y2 = (3x +2y)2
So, 27x3 - 8y3 = (3x - 2y)(3x - 2y)2
Hence the other factor is 3x - 2y
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