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)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #1154)