Home » If 9×2 + 6xy + 4y2 is a factor of 27×3 – 8y3, find the…

If 9×2 + 6xy + 4y2 is a factor of 27×3 – 8y3, find the…

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: Option 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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