化简：（X^2-4/X^2-4X+4+2-X/X+2）除以X/X-2其结果是?化简其结果是

题目详情

化简：（X^2-4/X^2-4X+4+2-X/X+2）除以X/X-2其结果是?
化简其结果是

▼优质解答

答案和解析

原式=[(x+2)(x-2)/(x-2)²-(x-2)/(x+2)]×(x-2)/x =[(x+2)/(x-2)-(x-2)/(x+2)]×(x-2)/x =[(x+2)²-(x-2)²]/(x+2)(x-2)×(x-2)/x =8x/(x+2)×1/x =8/(x+2)

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