JAMB Mathematics 2011 Question 14

Question 14

Algebraic Expressions

Factorize completely 9y2 − 16x2.

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

Answer: D ((3y + 4x)(3y − 4x))

Explanation

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