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Mathematics
JAMB
Factorize 4x
2
- 9y
2
+ 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)
Correct Answer:
(2x - 3y +5)(2x + 3y + 5)
Explanation
Given: 4x
2
- 9y
2
+ 20x + 25 Collect like terms: 4x
2
+ 20x + 25 - 9y
2
(2x + 5)(2x + 5) - 9y
2
(2x + 5)
2
- (3y)
2
(2x - 3y +5)(2x + 3y + 5)
Given: 4x
2
- 9y
2
+ 20x + 25 Collect like terms: 4x
2
+ 20x + 25 - 9y
2
(2x + 5)(2x + 5) - 9y
2
(2x + 5)
2
- (3y)
2
(2x - 3y +5)(2x + 3y + 5)
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