计算:(x-y+z)(-x-y-z)

1. 计算:(x-y+z)(-x-y-z)

2. (x+y-z)(x-y+z) 计算

(x+y-z)(x-y+z)
=(x+(y-z))(x-(y-z))
=x^2-(y-z)^2
=x^2-y^2+2yz-z^2

3. 计算(x-y+z)(x+y+z)

(x-y+z)(-x+y+z)
=[z+(x-y)][z-(x-y)]
=z²-(x-y)²
=z²-x²+2xy+y²

4. 计算(x-y+z)(x-y+z)

原式=[(x-y)+z]²
=(x-y)²+2(x-y)z+z²
=x²-2xy+y²+2xz-2yz+z²

5. 计算：(x+y+z)(x-y-z)

：(x+y+z)(x-y-z)
=[x+(y+z)][x-(y+z)]
=x²-（y+z)²
=x²-y²-2yz-z²

6. 计算：(x+y+z)(x+y-z)

（x+y+z）（x+y-z）
=[(x+y)+z][(x+y)-z]
=（x+y）²-z²

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7. 计算(x-y+z)(x+y+z)

(x-y+z)(-x+y+z)
  =[z+(x-y)][z-(x-y)]
  =z²-(x-y)²
  =z²-x²+2xy+y²

8. 计算(-x y-z)(x-y-z)

(-x y-z)(x-y-z)
=［-Z+(X-Y)］［-Z+(X-Y)］
=(-Z)^2-(X-Y)^2
=Z^2-X^2+2XY-Y^2。