化简(x^2-4/x^2-4x+4)÷(x+2/x+1)-x/x-2

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/15 10:57:49

化简(x^2-4/x^2-4x+4)÷(x+2/x+1)-x/x-2
化简(x^2-4/x^2-4x+4)÷(x+2/x+1)-x/x-2

化简(x^2-4/x^2-4x+4)÷(x+2/x+1)-x/x-2
(x^2-4/x^2-4x+4)÷(x+2/x+1)-x/x-2
=(x+2)/(x-2)(x+2) *(x+1)/(x+2)-x/x-2
=(x+1)/(x-2)(x+2)-x(x+2)/(x-2)(x+2)
=(-x^2-2x+x+1)/(x-2)(x+2)
=(-x^2-x+1)/(x^2-4)

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

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