化简(a+b/a^2b-ab^2-4/a^2-b^2)÷a^2-2ab+b^2/a^2-ab^2

问题描述:

化简(a+b/a^2b-ab^2-4/a^2-b^2)÷a^2-2ab+b^2/a^2-ab^2

[(a+b)/(a²b-ab²)-4/(a²-b²)]÷[(a²-2ab+b²)/(a²b-ab²)]=[(a+b)/ab(a-b)]÷[(a-b)²/ab(a-b)]=[(a+b)ab(a-b)]/[ab(a-b)(a-b)²]=(a+b)/(a-b)²