[(a²-b²)/(a²-ab)]÷[a+(2ab+b²)/a]
=[(a+b)(a-b)/[a(a-b)]]÷[a+b(2a+b)/a]
=[(a+b)/a]×[a/(a+2ab+b^2)]
=(a+b)/[a+2ab+b^2]
当b=-1时,选择a=0
那么原式=(0-1)/(0+0+1)
=-1
[(a²-b²)/(a²-ab)]÷[a+(2ab+b²)/a]
=[(a+b)(a-b)/[a(a-b)]]÷[a+b(2a+b)/a]
=[(a+b)/a]×[a/(a+2ab+b^2)]
=(a+b)/[a+2ab+b^2]
当b=-1时,选择a=0
那么原式=(0-1)/(0+0+1)
=-1