计算:(1x-1+1x+1)÷3x1-x2=______.-数学

题目简介

计算:(1x-1+1x+1)÷3x1-x2=______.-数学

题目详情

计算:(
1
x-1
+
1
x+1
3x
1-x2
=______.
题型:解答题难度:中档来源:不详

答案

原式=[class="stub"x+1
(x-1)(x+1)
+class="stub"x-1
(x-1)(x+1)
]•
(1-x)(1+x)
3x

=class="stub"2x
(x-1)(x+1)
(1-x)(1+x)
3x

=-class="stub"2
3

故答案是:-class="stub"2
3

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