首页 > 留学知识库

问题: 初2因式分解

[1-(1/2^2)][1-1/3^1]……[1-1/10^2]

解答:

[1-(1/2^2)][1-1/3^2]……[1-1/10^2]
=[1+(1/2)][1-(1/2)]·[1+(1/3)][1-(1/3)]·……·[1+(1/10)][1-(1/10)]
=(3/2)(1/2)·(4/3)(2/3)·(5/4)(3/4)·……·(11/10)(9/10)
=(1/2)(11/10)
=11/20