Factories: x 2 – y 2 – 2y – 1

Question

Factories: x 2 &#x2013; y 2 &#x2013; 2y &#x2013; 1

Philoid · Accepted Answer

Given,

x² – y² – 2y – 1

= x² – (y² + 2y + 1)

By using the formula a² – b² = (a + b)(a – b)

We get,

x² – y² – 2y – 1 = x² – (y² + 2y + 1)

= (x)² – (y + 1)²

={x + (y +1)}{x – (y + 1)}

= (x + y + 1)(x – y – 1)