作业帮 > 数学 > 作业

a+1分之a-a的平方-1分之a-2除以a的平方-2a+1分之a的平方-2a

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/18 06:29:19
a+1分之a-a的平方-1分之a-2除以a的平方-2a+1分之a的平方-2a
原式=[a/(a+1)]-[(a-2)/(a²-1)]÷[(a²-2a)/(a²-2a+1)]
=[a/(a+1)]-[(a-2)/(a²-1)]÷[a(a-2)/(a-1)²]
=[a/(a+1)]-[(a-2)/(a²-1)]×{ (a-1)²/[a(a-2)] }
=[a/(a+1)]- { (a-2)/[(a+1)(a-1)] }×{ (a-1)²/[a(a-2)] }
=[a/(a+1)]-{ (a-1)/[a(a+1)] }
={ a²/[a(a+1)] }-{ (a-1)/[a(a+1)] }
=[a²-(a-1)]/[a(a+1)]
=(a²-a+1)/(a²+a)