2010
Mathematics
67ca00ce0c643c71d77dee1f
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 Answer: 3x - 2y
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
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 - 2yTHIS WEEK's
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