(x+2/x^2-2x-x-1/x^2-4x+4)除以4-x/x2-4

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(x+2/x^2-2x-x-1/x^2-4x+4)除以4-x/x2-4

(x+2/x^2-2x-x-1/x^2-4x+4)除以4-x/x2-4
(x+2/x^2-2x-x-1/x^2-4x+4)除以4-x/x2-4

(x+2/x^2-2x-x-1/x^2-4x+4)除以4-x/x2-4
=[(x+2)/x(x-2)-(x-1)/(x-2)²] ×(x+2)(x-2)/(4-x)
=[(x+2)(x-2)-x(x-1)]/x(x-2)² ×(x+2)(x-2)/(4-x)
=(x²-4-x²+x)/x(x-2)×(x+2)/(4-x)
=(x-4)/x(x-2)×(x+2)/(4-x)
=-(x+2)/x(x-2)