问题
填空题
(x-y)(x+y)(x2+y2)(x4+y4)…(x2n+y2n)=______.
答案
(x-y)(x+y)(x2+y2)(x4+y4)…(x2n+y2n),
=(x2-y2)(x2+y2)(x4+y4)…(x2n+y2n),
…
=x4n-y4n.
(x-y)(x+y)(x2+y2)(x4+y4)…(x2n+y2n)=______.
(x-y)(x+y)(x2+y2)(x4+y4)…(x2n+y2n),
=(x2-y2)(x2+y2)(x4+y4)…(x2n+y2n),
…
=x4n-y4n.