[(a²-3ab+2b²)/(a²-2ab+b²)]÷[(a²-4b²)/(a²-ab)]
=(a²-3ab+2b²)(a²-ab)/[(a²-2ab+b²)(a²-4b²)]
=(a-b)(a-2b)a(a-b)/[(a-b)²(a+2b)(a-2b)]
=a/(a+2b)
[(a²-3ab+2b²)/(a²-2ab+b²)]÷[(a²-4b²)/(a²-ab)]
=(a²-3ab+2b²)(a²-ab)/[(a²-2ab+b²)(a²-4b²)]
=(a-b)(a-2b)a(a-b)/[(a-b)²(a+2b)(a-2b)]
=a/(a+2b)