Multiply a² + b² + c² - ab - bc - ca by a + b + c.
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(a² + b² + c² - ab - bc - ca)(a+b+c)
=a² (a+b+c)+b²(a+b+c)+c²(a+b+c)-ab(a+b+c)-bc(a+b+c)-ca(a+b+c)
=a^3+b^3+c^3-3abc
(a identity from algebra)
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