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Factorize completely \(y^3 -4xy + xy^3 - 4y\)

Mathematics
JAMB 1989

Factorize completely \(y^3 -4xy + xy^3 - 4y\)

  • A. (y + xy)(y + 2)(y - 2)
  • B. (y - xy)(y - 2)
  • C. y(1 + x)(y + 2)(y -2)
  • D. y(1 - x)(y + 2)(y - 2)
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Correct Answer: Option C
Explanation

\(y^3 -4xy + xy^3 - 4y \)

= \(y^3(1 + x) - 4y(1 + x)

\((y^3 - 4y)(1 + x) = (y^3(1 + x) - 4y(1 + x))\)

∴ = \(y(1 + x)(y + 2)(y - 2)\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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