✨ Best Answer ✨
(a+b)(b+c)(c+a)+abc
=abc+ac²+b²c+bc²+a²b+a²c+ab²+abc+abc
=(b+c)a²+(b²+3bc+c²)a+bc(b+c)
={(b+c)a+bc}(a+b+c)
=(ab+bc+ca)(a+b+c)
✨ Best Answer ✨
(a+b)(b+c)(c+a)+abc
=abc+ac²+b²c+bc²+a²b+a²c+ab²+abc+abc
=(b+c)a²+(b²+3bc+c²)a+bc(b+c)
={(b+c)a+bc}(a+b+c)
=(ab+bc+ca)(a+b+c)
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