x²-1-y(y-2) এর উৎপাদক কত?

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

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

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

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

Correct Answer: Option B

x2 - 1 y(y - 2)

= x2 - 1 - y2 + 2y = x2 - (y2 - 2y + 1)

= x2 - (y - 1)2 = (x - y + 1) (x + y - 1)