计算((a)/(a-b)-(a)/(a+b))÷(2b)/(a²-b²)
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计算((a)/(a-b)-(a)/(a+b))÷(2b)/(a²-b²)
计算((a)/(a-b)-(a)/(a+b))÷(2b)/(a²-b²)
计算((a)/(a-b)-(a)/(a+b))÷(2b)/(a²-b²)
原式= a[(a+b-a+b)/(a+b)(a-b)]×[(a+b)9a-b)/2b]
=2ab/2b
=a
((a)/(a-b)-(a)/(a+b))÷(2b)/(a²-b²)=(2ab/(a²-b²))÷(2b)/(a²-b²)=a
((a)/(a-b)-(a)/(a+b))÷(2b)/(a²-b²)
=((a)/(a-b)-(a)/(a+b))×(a²-b²)/2b
=(a)/(a-b)×(a²-b²)/2b-(a)/(a+b)×(a²-b²)/2b
=(a²+ab)/2b-(a²-ab)/2b
=a