x^12-y^12=
=(X^6+Y^6)(X^6-Y^6)
=(X^2+Y^2)(X^4-X^2Y^2+Y^4)(X^2-Y^2)(X^4+x^2Y^2+Y^4)
=(X-Y)(X+Y)(X^2+Y^2)(X^4-X^2Y^2+Y^4)(X^4+X^2Y^2+Y^4)X^6+y^6得过程能在写仔细一点吗？谢谢x^6+y^6=(x^2)^3+(y^2)^3=(x^2+y^2)(x^4-x^2y^2+y^4)（a+b）^3==(a+b)^2×(a+b)=(a^2+2ab+b^2)(a+b)=a^3+a^2b+2a^b+2ab^2+2ab^2+b^3=a^3+3a^2b+3ab^2+b^3