(x+y+z)(x-y+z)(x+y-z)(-x+y+z)
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原式=[(x+z)+y][(x+z)-y][y+(x-z)][y-(x-z)]
=[(x+z)²-y²][y²-(x-z)²]
=(x²+2xz+z²-y²)(y²-x²+2xz-z²)
=[2xz+(x²-y²+z²)][2xz-(x²-y²+z²)]
=4x²z²-(x^4+y^4+z^4-2x²y²+2x²z²-2y²z²)
=-x^4-y^4-z^4+2x²y²+2x²z²+2y²z²
=[(x+z)²-y²][y²-(x-z)²]
=(x²+2xz+z²-y²)(y²-x²+2xz-z²)
=[2xz+(x²-y²+z²)][2xz-(x²-y²+z²)]
=4x²z²-(x^4+y^4+z^4-2x²y²+2x²z²-2y²z²)
=-x^4-y^4-z^4+2x²y²+2x²z²+2y²z²
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