x²-y(y-2)-1 এর উৎপাদক নিচের কোনটি?

x²-y(y-2)-1 এর উৎপাদক নিচের কোনটি?

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)

Solution

Correct Answer: Option B

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