Factories: x2 – y2 – 2y – 1

1.	Factories: x2 – y2 – 2y – 1
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)

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)

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