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JAMB Mathematics 1989 Question 19

Question 19

Algebraic Expressions

Factorize completely y3 − 4xy + xy3 − 4y

  1. A.(y + xy)(y + 2)(y − 2)
  2. B.(y − xy)(y + 2)(y − 2)
  3. C.y(1 + x)(y + 2)(y − 2)
  4. D.y(1 − x)(y + 2)(y − 2)
Show the answer and explanation

Answer: C (y(1 + x)(y + 2)(y − 2))

Explanation

Group: y³(1 + x) − 4y(1 + x) = (1 + x)(y³ − 4y) = y(1 + x)(y + 2)(y − 2).