Question

Factorize :

$- 2xy + 1 - {y}^{2} - {x}^{2}$

Answer 1

hello

-2xy + 1 - y^2 - x^2

-(x - y)^2 + 1

( x + y)^2 - 1

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

( x + y - 1) ( x + y + 1 )

Answer 2

Answer:

-(x + y + 1)(x + y - 1)

Step-by-step explanation:

Given Equation is -x² - y² - 2xy + 1

⇒ -(x² + y² + 2xy - 1)

⇒ -(x + y)² - (1)²

We know that a² - b² = (a + b)(a - b)

⇒ -(x + y + 1)(x + y - 1).

Hope it helps!