Question

大神求解，分解因式a的三次方加b三次方加c三次方加c三次方减3abc

Answer 1

a^3+b^3+c^3-3abc
=(a+b)^3+c^3-3ab(a+b)-3abc
=(a+b+c)[(a+b)^2-(a+b)c+c^2-3ab]
=(a+b+c)(a^2+b^2+c^2-ab-ac-bc)