Question

4(2a+b)^2-(a-b)^2

factoris it​

Answer 1

Answer:

4(2a+b)² - (a-b)²

4(2a+b)² -(a-b)²

= 4(4a²+b²+4ab) - (a²+b²- 2ab)

= 16a² + 4b² + 16ab - a² - b² + 2ab

= 15a² + 3b² + 18ab

= 3(5a² + b² + 6ab)

= 3(5a² + 6ab + b²)

= 3(5a² + 5ab + ab + b²)

= 3{5a (a+b) + b(a+b)}

= 3 (5a+b) ( a+b)