计算:(x+2y-z)(x-2y-z)

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计算:(x+2y-z)(x-2y-z)计算:(x+2y-z)(x-2y-z)计算:(x+2y-z)(x-2y-z)(x+2y-z)(x-2y-z)=[(x-z)+2y][(x-z)-2y]=(x-z)

计算:(x+2y-z)(x-2y-z)
计算:(x+2y-z)(x-2y-z)

计算:(x+2y-z)(x-2y-z)
(x+2y-z)(x-2y-z)
=[(x-z)+2y][(x-z)-2y]
=(x-z)^2-(2y)^2
=x^2-2xz+z^2-4y^2.

(x+2y-z)(x-2y-z)
=((x-z)+2y)((x-z)-2y)
=(x-z)^2-4y^2
=x^2-2xz+z^2-4y^2

:(x+2y-z)(x-2y-z)
=[x^2-2xy-xz+2xy-4y^2-2yz-zx+2yz+z^2)
=x^2-2xz+z^2-4y^2