a^2b+ab^2+b^2c+bc^2+c^2a+ca^2+2abc
=(b+c)a^2+(b^2+2bc+c^2)a+(b^2c+bc^2)
=(b+c)a^2+(b+c)^2a+bc(b+c)
=(b+c)[a^2+(b+c)a+bc]
=(b+c)(a+b)(a+c)
=(a+b)(b+c)(c+a)
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