Question

The factors of a² - 1 - 2x - x² are ​

Answer 1

Answer:

(a - x - 1)(a + x + 1).

Step-by-step explanation:

a² - 1 - 2x - x²

= a² - (1 + 2x + x²)

= a² - { (1)² + 2.1.x + (x)²}  

= (a)² - (1 + x)²                                  [∵(x)² + 2.x.y + (y)² = (x + y)²]

= {a + (1 + x)} {a - (1 +x)}                    [∵ a² - b² = (a + b)(a - b)]

= (a + x + 1)(a - x - 1)