因式分解:(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,

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因式分解:(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,因式分解:(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,因式分解:(x+y+z)

因式分解:(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,
因式分解:(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,

因式分解:(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4,
= = 、这真够戳的..
你教我好了...

=(Z+X)4+4Y-4Y+4Z-(Z+X)4-(X+Y)4+(X+Y)4+4Z
=4Y-4Y+4Z+4Z
=0
看的明白吗

(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+x4+y4+z4
=(x+y+z)4-(y+z)4-(z+x)4-(x+y)4+(x+y+z)4
=[(x+y)4+4z]-(y+z)4-(z+x)4-(x+y)4+[(y+z)4+4x]
=[(x+y)4+4z+[(y+z)4+4x]-(y+z)4-(z+x)4-(x+y)4
=[(y+z)4+(z+x)4+(x+y)4]-(y+z)4-(z+x)4-(x+y)4
=0

=(x+y+z)*4-〔(y+z)*4+(z+x)*4+(x+y)*4〕+(x+y+z)*4
=(x+y+z)*4*2-(2x+2y+2z)*4
=0