Which is the correct factor analysis of x² - 2xy

Which is the correct factor analysis of x² - 2xy - z² + 2yz?

A (x-z)(x-2y+z)

B (x-y)(x-y-2z)

C (x+z)(x-y+z)

D (x-y)(2x-y+z)

Correct Answer: Option A

x² - 2xy - z² + 2yz?
= x² -zx-2xy+2yz+zx-z²
=x(x-z)-2y(x-z)+z(x-z)
=(x-z)(x-2y+z)