先化简,再求值:(a2-2ab+b2)/(a2-b2)/(1/a-1/b),其中a=根号2+1,b=根号2-1

原式=(a-b)²/(a+b)(a-b)÷(b-a)/ab
=(a-b)/(a+b)×[-ab/(a-b)]
=-ab/(a+b)
=-(2-1)/(2√2)
=-√2/4