化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b)
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化简[√ab-ab/(a+√ab)]÷(√ab-a)/(a-b)
[√ab - ab/(a+√ab)]÷( (√ab-a) / (a-b) )
= [√ab - ab/(√a(√a+√b))]÷( (√a(√b-√a)) / ((√a-√b)(√a+√b)) )
= [√ab - √a*b/(√a+√b)]÷( -√a / (√a+√b) )
= -[√ab - √a*b/(√a+√b)] /√a * (√a+√b)
= -[√b - b/(√a+√b)] * (√a+√b)
= -[√b(√a+√b) - b]
= -[√ab + b - b]
= -√ab
=[√ab- √a b/(√a+b)]÷(√ab-a)/(a-b)
=√ab[1-1/(√a+b)]÷(√ab-a)/(a-b)
=b[1-1/(√a+b)]÷(b-√a)/(a-b)
=b(a-b)(√a+b-1)/(b^2-a)
再无可化简