化简求值:(x+1x-1+1x2-2x+1)÷x2x-1,x=2+1.-数学

题目简介

化简求值:(x+1x-1+1x2-2x+1)÷x2x-1,x=2+1.-数学

题目详情

化简求值:(
x+1
x-1
+
1
x2-2x+1
x2
x-1
x=
2
+1
题型:解答题难度:中档来源:不详

答案

原式=
(x+1)(x-1)+1
(x-1)2
class="stub"x-1
x2

=
x2
(x-1)2
class="stub"x-1
x2

=class="stub"1
x-1

x=
2
+1
代入上式得:原式=class="stub"1
2
+1-1
=
2
2

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