UI Post-UTME Mathematics 2016 Question 14

Question 14

Algebraic Expressions

Factorize 16x2 − 9y2

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

Answer: C ((4x + 3y)(4x − 3y))

Explanation

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