Question

先化简（x平方-4x+4）/（x平方-2x）÷(x-4/x)

Answer 1

(x²-4x+4)/(x²-2x)÷(x-4/x)

=(x-2)²/[x(x-2)]÷[(x²-4)/x]

=(x-2)²/[x(x-2)]÷[(x+2)(x-2)/x]

=[(x-2)/x]×{x/[(x+2)(x-2)]}

=1/(x+2)

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