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WAEC Mathematics 2004 Question 23

Question 23

Algebraic Expressions

Factorise 27p2x2 − 48y2.

  1. A.9(3px − 4y)2
  2. B.3(3px − 4y)(3px − 4y)
  3. C.9(px − 4y)(3px + 4y)
  4. D.3(3px − 4y)(3px + 4y)
Show the answer and explanation

Answer: D (3(3px − 4y)(3px + 4y))

Explanation

Take out 3: 3(9p2x2 − 16y2), then use the difference of two squares: 3(3px − 4y)(3px + 4y).