x2 -1 - y(y - 2) এর উৎপাদক কত?

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)

Solution

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)