(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)等于多少

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(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)等于多少

(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)等于多少
(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)等于多少

(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)等于多少
你好

(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)
=[(x+y)-z]*[(x+y)-z]-[(x-y)+z]*[(x-y)-z)]
=[(x+y)²-z²]-[(x-y)²-z²]
=(x+y)²-(x-y)²
=4xy

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(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)
=(x+y)²-2(x+y)z+z²-[(x-y)²-z²]
=x²+2xy+y²-2xz-2yz+z²-x²+2xy-y²+z²
=4xy-2xz-2yz+2z²

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(x+y-z)*(x+y-z)-(x-y+z)*(x-y-z)
=(x+y)²-2(x+y)z+z²-【(x-y)²-z²】
=x²+2xy+y²-2xz-2yz+z²-x²+2xy-y²+z²
=4xy-2xz-2yz+2z²