化简:{[(2a-b)/(a+b)]-[b/(a-b)]}÷[(a-2b)/(a+b)]

问题描述:

化简:{[(2a-b)/(a+b)]-[b/(a-b)]}÷[(a-2b)/(a+b)]

{[(2a-b)/(a+b)]-[b/(a-b)]}÷[(a-2b)/(a+b)]
=(2a²-4ab)/[(a+b)(a-b)]×(a+b)/(a-2b)
=(2a²-4ab)/(a-b)/(a-2b)
=2a/(a-b)