计算:(1)1a2-b2÷(1a+b+1a-b);(2)a-1a÷(a-2+1a).-数学

题目简介

计算:(1)1a2-b2÷(1a+b+1a-b);(2)a-1a÷(a-2+1a).-数学

题目详情

计算:
(1)
1
a2-b2
÷(
1
a+b
+
1
a-b
)

(2)
a-1
a
÷(a-2+
1
a
)
题型:解答题难度:中档来源:不详

答案

(1)原式=class="stub"1
(a+b)(a-b)
÷class="stub"a-b+a+b
(a+b)(a-b)
=class="stub"1
(a+b)(a-b)
(a+b)(a-b)
2a
=class="stub"1
2a

(2)原式=class="stub"a-1
a
÷
a2-2a+1
a
=class="stub"a-1
a
class="stub"a
(a-1)2
=class="stub"1
a-1

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