Factorize completely: 27x\(^2\) – 48y\(^2\)

Mathematics WAEC 2024

Factorize completely: 27x\(^2\) – 48y\(^2\)

  • 3(3x + 4y)(3x - 4y) checkmark
  • 3(3x + 4y)(3x + 4y)
  • 3(9x - 16y)(9x + 16y)
  • 3(9x - 16y)(9x - 16y)

The correct answer is: A

Explanation

27x\(^2\) - 48y\(^2\) = 3(9x\(^2\) - 16y\(^2\))

difference of two squares

3((3x)\(^2\) - (4y)\(^2\)) = 3((3x - 4y)(3x + 4y))

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