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JAMB Mathematics 2008 Question 14

Question 14

Algebraic Expressions

Factorize completely (4x + 3y)2 − (3x − 2y)2

  1. A.(x + 5y)(7x + y)
  2. B.(x + 5y)(7x − y)
  3. C.(x − 5y)(7x + y)
  4. D.(x − 5y)(7x − y)
Show the answer and explanation

Answer: A ((x + 5y)(7x + y))

Explanation

Difference of two squares: (4x + 3y − 3x + 2y)(4x + 3y + 3x − 2y) = (x + 5y)(7x + y).