x^2+y^2-z^2-2xy-2z-1因式分解

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x^2+y^2-z^2-2xy-2z-1因式分解
x^2+y^2-z^2-2xy-2z-1因式分解

x^2+y^2-z^2-2xy-2z-1因式分解
x^2+y^2-z^2-2xy-2z-1
=(x^2+y^2-2xy)-(z^2+2z+1)
=(x-y)^2-(z+1)^2
=(x-y-z-1)(x-y+z+1)

x^2+y^2-z^2-2xy-2z-1
=x^2-2xy+y^2-(z^2+2z+1)
=(x-y)^2-(z+1)^2
=(x-y+z+1)(x-y-z-1)