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WAEC Mathematics 1996 Question 16

Question 16

Algebraic Expressions

Factorize 32x3 − 8xy2

  1. A.4(4x + y)(2x − y)
  2. B.(16x − y)(2x + y)
  3. C.8x(2x − y)
  4. D.8x(2x + y)(2x − y)
  5. E.4(2x + y)(4x − y)
Show the answer and explanation

Answer: D (8x(2x + y)(2x − y))

Explanation

Take out the common factor 8x: 8x(4x2 − y2). Then 4x2 − y2 is a difference of two squares, (2x + y)(2x − y).