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Factorize 4x2 - 9y2 + 20x + 25

Mathematics
JAMB 2001
Factorize 4x2 - 9y2 + 20x + 25
  • A. (2x -3y + 5)(2x - 3y - 5)
  • B. (2x - 3y)(2x + 3y)
  • C. (2x - 3y +5)(2x + 3y + 5)
  • D. (2x + 5)(2x - 9y +5)
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Correct Answer: Option 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)

There is an explanation video available below.

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Explanation Video

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