提公因式(x+y-z)(x-y+z)+(y-x-z)(y-x+z)这是因式分解

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提公因式(x+y-z)(x-y+z)+(y-x-z)(y-x+z)这是因式分解提公因式(x+y-z)(x-y+z)+(y-x-z)(y-x+z)这是因式分解提公因式(x+y-z)(x-y+z)+(y-

提公因式(x+y-z)(x-y+z)+(y-x-z)(y-x+z)这是因式分解
提公因式(x+y-z)(x-y+z)+(y-x-z)(y-x+z)
这是因式分解

提公因式(x+y-z)(x-y+z)+(y-x-z)(y-x+z)这是因式分解
(x+y-z)(x-y+z)+(y-x-z)(y-x+z)
=-(x+y-z)(-x+y-z)+(y-x-z)(y-x+z)
=(y-x-z)<-(x+y-z)+(y-x+z)>
=2(y-x-z)(-x+z)

2x(x-y+z)

2x(x-y+z)

(x+y-z)(x-y+z)+(y-x-z)(y-x+z)
=(x+y-z)(x-y+z)+(-1)*(-1)*(y-x-z)(y-x+z)
=(x+y-z)(x-y+z)-[(-1)*(y-x-z)](y-x+z)
=(x+y-z)(x-y+z)-(x-y+z)(y-x+z)
=(x-y+z)[(x+y-z)-(y-x+z)]
=(x-y+z)(x+y-z-y+x-z)
=(2x-2z)(x-y+z)
=2(x-y)(x-y+z)

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

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