If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3, find the other factor.
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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