Question

(a-b)a^6+(b-a)b^6的详解,

Answer 1

(a-b)a^6+(b-a)b^6

=(a-b)a^6-(a-b)b^6

=(a-b)(a^6-b^6)

=(a-b)(a^3+b^3)(a^3-b^3)

立方和、立方差

=(a-b)(a+b)(a^2-ab+b^2)(a-b)(a^2+b^2+ab)

=(a-b)^2(a+b)(a^2-ab+b^2)(a^2+b^2+ab)