〔(x-1)/(x+2)〕×〔(x^2-4)/(x^2-2x+1)〕÷(1/x^2)
=〔(x-1)/(x+2)〕×〔(x+2)(x-2)/(x-1)^2〕×x^2
=〔(x^2)(x-1)(x+2)(x-2)〕/〔(x+2)(x-1)^2〕
=x^2(x-2)/(x-1)
〔(x-1)/(x+2)〕×〔(x^2-4)/(x^2-2x+1)〕÷(1/x^2)
=〔(x-1)/(x+2)〕×〔(x+2)(x-2)/(x-1)^2〕×x^2
=〔(x^2)(x-1)(x+2)(x-2)〕/〔(x+2)(x-1)^2〕
=x^2(x-2)/(x-1)