Question on: JAMB Mathematics - 2010

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
Ask EduPadi AI for a detailed answer
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

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