①已知x=2009,y=2010,求代数式x-y/x÷(x-(2xy-y^2/x))的值

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    ①已知x=2009,y=2010,求代数式x-y/x÷(x-(2xy-y^2/x))的值

    (x-y)/x÷[x-(2xy-y^2/x)]

    =(x-y)/x÷(x²-2x+y²)/x

    =(x-y)/x÷(x-y)²/x

    =1/(x-y)

    =1/(2009-2010)

    =-1

    ②先化简,再求值:(a^2-b^2/a^2-ab)÷(a+(2ab+b^2/a)当b=-1时,再从-2<a<2的范围内选取一个合适的整数a代入求值

    (a²-b²)/(a²-ab)÷[a+(2ab+b²/a)]

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

    =(a+b)/a÷(a+b)²/a

    =1/(a+b) b=-1 设a=0

    =1/(0-1)

    =-1