Question

factorize 4x2 – 9 y2+ 20x + 25

Answer 1

Solution:

Given to factorise,

= 4x² - 9y² + 20x + 25

This can be written as,

= 4x² + 20x + 25 - 9y²

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

= (2x + 5)² - (3y)² [Using identity (a + b)² = a² + 2ab + b²]

Using identity a² - b² = (a + b)(a - b), we get,

= (2x + 3y + 5)(2x + 3y - 5) which is our required answer.

Answer:

• Factorised form - (2x + 3y + 5)(2x + 3y - 5)