(x-y+z)²-(x+y-z)²

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(x-y+z)²-(x+y-z)²
(x-y+z)²-(x+y-z)²

(x-y+z)²-(x+y-z)²
(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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(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)

(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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(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)