(a-b)三次方+(b-c)三次方+(c-a)三次方
=a^3-3a^2b+3ab^2-b^3+b^3-3b^2c+3bc^2-c^3+c^3-3c^2a+3ca^2-a^3
=-3a^2b+3ab^2-3b^2c+3bc^2-3c^2a+3ca^2
=3ca^2-3a^2b+3ab^2--3c^2a-3b^2c+3bc^2
=3a^2(c-b)+3a(b^2-c^2)+3bc(c-b)
=3(c-b)(a^2-a(c+b)+bc)
=3(c-b)(a^2-ac-ab+bc)
3次方公式 a3+b3=(a+b)(a2+b2-ab)