因式分解:(x+y+z)^5-x^5-y^5-z^5.详细过程!

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因式分解:(x+y+z)^5-x^5-y^5-z^5.详细过程!因式分解:(x+y+z)^5-x^5-y^5-z^5.详细过程!因式分解:(x+y+z)^5-x^5-y^5-z^5.详细过程!因式分解

因式分解:(x+y+z)^5-x^5-y^5-z^5.详细过程!
因式分解:(x+y+z)^5-x^5-y^5-z^5.
详细过程!

因式分解:(x+y+z)^5-x^5-y^5-z^5.详细过程!
因式分解=[(x+y+z)^5-x^5]-(y^5+z^5)
=(x+y+z-x)[(x+y+z)^4+x(x+y+z)^3+
x^2(x+y+z)^2+x^3(x+y+z)+x^4]-
(y+z)(y^4-y^3z+y^2z^2-yz^3+z^4)
=(y+z)[(x+y+z)^4+x(x+y+z)^3+x^2(x+y+z)^2+
x^3(x+y+z)+x^4-y^4+y^3z-y^2z^2+yz^3-z^4]