Question

facterization of 9x² - 4y 2​

Answer 1

Step-by-step explanation:

9x^2 - 4y^2 = (3x - 2y)^2 = (3x + 2y)(3x - 2y)

Answer) (3 + 2y)(3x - 2y)

Done by the process of (a - b)^2 = (a + b)(a - b)

Answer 2

Given

factories it

9x² - 4y²

Solution

Applying identity → a² - b² = (a +b)(a - b)

= 9x² - 4y²

= (3x)² - (2y)²

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

Some important identities

• (a+b)² = a² + b² +2ab
• (a-b)² = a² + b² - 2ab
• (a+b)³ = a³ + b³ + 3ab(a+b)
• (a-b)³ = a³ -b³ - 3ab(a-b)
• a² - b² = (a+b)(a-b)
• a³ + b³ = (a+b)(a² - ab +b²)
• a³ - b³ = (a-b)(a² + ab +b²)