因式分解(x+y+z)^3-x^3-y^3-z^3
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参考下面
(x+y+z)^3-x^3-y^3-z^3
=3yx^2+3xy^2+3xz^2+3yz^2+3zx^2+3zy^2+6xyz
=3xy(x+y)+3z^2(x+y)+3z(x^2+y^2+2xy)
=3xy(x+y)+3z^2(x+y)+3z(x+y)^2
=3(x+y)[xy+z^2+z(x+y)]
=3(x+y)[x(y+z)+z(y+z)]
=3(x+y)(x+z)(y+z)、
、好评，，O(∩_∩)O谢谢
(x+y+z)^3-x^3-y^3-z^3
=3yx^2+3xy^2+3xz^2+3yz^2+3zx^2+3zy^2+6xyz
=3xy(x+y)+3z^2(x+y)+3z(x^2+y^2+2xy)
=3xy(x+y)+3z^2(x+y)+3z(x+y)^2
=3(x+y)[xy+z^2+z(x+y)]
=3(x+y)[x(y+z)+z(y+z)]
=3(x+y)(x+z)(y+z)、
、好评，，O(∩_∩)O谢谢
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