搜索网页 化简:1/x(x+a)+1/(x+a)(x+2a)+1/(x+2a)(x+3a)+1/(x+3a)(x+4a)如题
问题描述:
搜索网页 化简:1/x(x+a)+1/(x+a)(x+2a)+1/(x+2a)(x+3a)+1/(x+3a)(x+4a)如题
答
原式 =1/a{1/x-1/(x+a)+1/(x+a)-1/(x+2a)+1/(x+2a)-1/(x+3a)+1/(x+3a)-1/(x+4a)} =1/a{1/x-1/(x+4a)} =4/x(x+4a)