计算下列各式:
(1)(a+b)(a2-ab+b2)=a3+b3
a3+b3
;
(2)(a-b)(a2+ab+b2)=a3-b3
a3-b3
;
应用上述结论填空:
(1)(a+2b)(a2-2ab+4b2
a2-2ab+4b2
)=a3+(2b)3=a3+8b3
a3+8b3
;
(2)(3x-1)(9x2+3x+1
9x2+3x+1
)=(3x)3-13=27x3-1
27x3-1
;
请用你找到的方法分解因式:
(1)x3+y3=;
(2)x6-y6=(x+y)(x2-xy+y2)(x-y)(x2+xy+y2)
(x+y)(x2-xy+y2)(x-y)(x2+xy+y2)
.