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

Mathematics
JAMB 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
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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

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995