
x^2-4/(x^2-4x+4)-(x-2/x+2 )化简
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解:
原式=(x+2)(x-2)/(x-2)²-(x-2)/(x+2)
=(x+2)/(x-2)-(x-2)/(x+2)
=(x+2)²/[(x+2)(x-2)]-(x-2)²/[(x+2)(x-2)]
=[(x+2)²-(x-2)²]/[(x+2)(x-2)]
=8x/[(x+2)(x-2)]
原式=(x+2)(x-2)/(x-2)²-(x-2)/(x+2)
=(x+2)/(x-2)-(x-2)/(x+2)
=(x+2)²/[(x+2)(x-2)]-(x-2)²/[(x+2)(x-2)]
=[(x+2)²-(x-2)²]/[(x+2)(x-2)]
=8x/[(x+2)(x-2)]
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