化简[(x的平方-4)/(x的平方-4X+4)-(2-X)/(X+2)]÷x/(x-2)-8/(X-2)B:8/(X-2)C:-8/(X+2)D:8/(X+2)

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化简[(x的平方-4)/(x的平方-4X+4)-(2-X)/(X+2)]÷x/(x-2)-8/(X-2)B:8/(X-2)C:-8/(X+2)D:8/(X+2)化简[(x的平方-4)/(x的平方-4X

化简[(x的平方-4)/(x的平方-4X+4)-(2-X)/(X+2)]÷x/(x-2)-8/(X-2)B:8/(X-2)C:-8/(X+2)D:8/(X+2)
化简[(x的平方-4)/(x的平方-4X+4)-(2-X)/(X+2)]÷x/(x-2)
-8/(X-2)
B:8/(X-2)
C:-8/(X+2)
D:8/(X+2)

化简[(x的平方-4)/(x的平方-4X+4)-(2-X)/(X+2)]÷x/(x-2)-8/(X-2)B:8/(X-2)C:-8/(X+2)D:8/(X+2)
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]
=[(x²+4x+4+x²-4x+4)/(x+2)(x-2)]×[(x-2)/x]
=(2x²+8)(x-2)/[x(x+2)(x-2)]
=(2x²+8)/(x²+2x)

2(x-2)/x(x+2)