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WAEC Mathematics 2024 Question 28

Question 28

Algebraic Expressions

Factorize completely: 27x2 − 48y2

  1. A.3(3x + 4y)(3x + 4y)
  2. B.3(3x + 4y)(3x − 4y)
  3. C.3(9x − 16y)(9x + 16y)
  4. D.3(9x − 16y)(9x − 16y)
Show the answer and explanation

Answer: B (3(3x + 4y)(3x − 4y))

Explanation

Take out 3: 3(9x² − 16y²), then use the difference of two squares: 3(3x + 4y)(3x − 4y).