Question

factorise 4x^2 + 9y^2 + 12xy - 64z^2​

Answer 1

★ Question :

To factorise -

→ 4x² + 9y² + 12xy - 64z²

★ Solution :

• 4x² + 9y² + 12xy - 64 z²

=> [ (2x)² + (3y)² + 2*2x*3y ] - (8z)²

=> (2x + 3y)² - (8z)²

=> (2x + 3y + 8z)(2x + 3y - 8z)

➜ Formula Used :

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