Question

Please solve this question using identities​

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

To find :

the factors of x²-1-2y-y² using suitable identities

the identities:

• a²+b²+2ab = (a+b)²
• a²-b² = (a+b)(a-b)

solution :

• using the first identity above :

here, a = y

b = 1, so

x²-1-2y-y²

= x²-(y²+1+2y)

=x²-(y+1)²    

• using second identity above :

here, a = x

b = y+1, so

x²-(y+1)²

= [x + (y+1)][x - (y+1)]

hence, x²-1-2y-y² = (x+y+1)(x-y-1)