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WAEC Mathematics 2016 Question 15

Question 15

Algebraic Expressions

Factorize: (2x + 3y)2 − (x − 4y)2.

  1. A.(3x − y)(x + 7y)
  2. B.(3x + y)(2x − 7y)
  3. C.(3x + y)(x − 7y)
  4. D.(3x − y)(2x + 7y)
Show the answer and explanation

Answer: A ((3x − y)(x + 7y))

Explanation

Difference of two squares: (2x + 3y + x − 4y)(2x + 3y − x + 4y) = (3x − y)(x + 7y).