Question

（x-y+z）²-(x+y-z)²

Answer 1

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

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Answer 2

（x-y+z）²-(x+y-z)²
=[(x-y+z)+(x+y-z)][(x-y+z)-(x+y-z)]
=(x-y+z+x+y-z)(x-y+z-x-y+z)
=2x(2z-2y)
=4x(z-y)

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Answer 3

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

Answer 4

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