If 9×2 + 6xy + 4y2 is a factor of 27×3 – 8y3, find the other factor.
- 2y + 3x
- 2y - 3x
- 3x + 2y
-
3x - 2y
The correct answer is: D
Explanation
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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