[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)

问题描述:

[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)

[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
=[(x+2)(x-2)/(x-2)^2-(1)/(x-2)]*x(x-2)/(x+1)
=[(x+2)/(x-2)-1/(x-2)]*x(x-2)/(x+1)
=(x+2-1)/(x-2)*x(x-2)/(x+1)
=(x+1)/(x-2)*x(x-2)/(x+1)
=x