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问题: 初中因式分解

因式分解
2(x+y)^2(y+z)^2+2(y+z)^2(z+x)^2+2(z+x)^2(x+y)^2-(x+y)^4-(y+z)^4-(z+x)^4

解答:

2(x+y)^2(y+z)^2+2(y+z)^2(z+x)^2+2(z+x)^2(x+y)^2-(x+y)^4-(y+z)^4-(z+x)^4
=16xyz(x+y+z)