Home » Factorize 4×2 – 9y2 + 20x + 25

Factorize 4×2 – 9y2 + 20x + 25

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)

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)