Question

x² - (2x + y)² factorise​

Answer 1

Answer:

(3x + y) (- x - y)

Step-by-step explanation:

x² - (2x + y)²

= {x + (2x + y)} {x - (2x + y)}

[because a² - b² = (a+b)(a-b), here a = x, b = 2x+y]

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

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

Hence x² - (2x + y)²

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

hope it helps.