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

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)
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))