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计算:a2-2ab/-ab+b2÷(a2/a-b÷2ab/2b-a)

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计算:a2-2ab/-ab+b2÷(a2/a-b÷2ab/2b-a)
(a^2-2ab)/(-ab+b^2)÷a^2/(a-b)÷2ab/(2b-a)
=a(a-2b)/[-b(a-b)]÷a^2/(a-b)÷[-2ab/(a-2b) ]
=a(a-2b)/[b(a-b)]÷a^2/(a-b)÷2ab/(a-2b)
=a(a-2b)/[b(a-b)]*(a-b)/a^2*(a-2b)/2ab
=a(a-2b)/b*1/a^2*(a-2b)/2ab
=(a-2b)/b*1/a^2*(a-2b)/2b
=(a-2b)^2/(2a^2b^2)