Factorize 4×2 – 9y2 + 20x + 25

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Mathematics JAMB 2001

Factorize 4x2 – 9y2 + 20x + 25

  • (2x -3y + 5)(2x - 3y - 5)
  • (2x - 3y)(2x + 3y)
  • (2x - 3y +5)(2x + 3y + 5) checkmark
  • (2x + 5)(2x - 9y +5)

The correct answer is: C

Explanation

Given: 4x2 - 9y2 + 20x + 25
Collect like terms: 4x2 + 20x + 25 - 9y2
(2x + 5)(2x + 5) - 9y2
(2x + 5)2 - (3y)2

(2x - 3y +5)(2x + 3y + 5)

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