先化简再求值(1-1/x+2)÷x²-1/x+2其中x=2写出具体步骤!
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先化简再求值(1-1/x+2)÷x²-1/x+2其中x=2写出具体步骤!
![先化简再求值(1-1/x+2)÷x²-1/x+2其中x=2写出具体步骤!](/uploads/image/z/16858407-39-7.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%E5%86%8D%E6%B1%82%E5%80%BC%EF%BC%881-1%2Fx%2B2%EF%BC%89%C3%B7x%26%23178%3B-1%2Fx%2B2%E5%85%B6%E4%B8%ADx%3D2%E5%86%99%E5%87%BA%E5%85%B7%E4%BD%93%E6%AD%A5%E9%AA%A4%21)
原式=[1-1/(x+2)]÷[(x²-1)/(x+2)]
=[(x+2)/(x+2)-1/(x+2)]÷[(x+1)(x-1)/(x+2)]
=[(x+1)/(x+2)]×{(x+2)/[(x+1)(x-1)]}
=1/(x-1)
=1/(2-1)
=1
=[(x+2)/(x+2)-1/(x+2)]÷[(x+1)(x-1)/(x+2)]
=[(x+1)/(x+2)]×{(x+2)/[(x+1)(x-1)]}
=1/(x-1)
=1/(2-1)
=1
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