因式分解(x+y-z)[(x+y)^2+(x+y)z+z^2]怎么化简

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因式分解(x+y-z)*[(x+y)^2+(x+y)*z+z^2]怎么化简因式分解(x+y-z)*[(x+y)^2+(x+y)*z+z^2]怎么化简因式分解(x+y-z)*[(x+y)^2+(x+y)

因式分解(x+y-z)*[(x+y)^2+(x+y)*z+z^2]怎么化简
因式分解(x+y-z)*[(x+y)^2+(x+y)*z+z^2]怎么化简

因式分解(x+y-z)*[(x+y)^2+(x+y)*z+z^2]怎么化简
可以看成x+y=a,z=b
原式就是(a-b)(a^2+ab+b^2)=a^3-b^3
答案是(x+y)^3-z^3

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

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