化简(x-3/2x+4)/{(5/x-2)-x-2}
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(x+3)/(2x-4)÷[5/(x-2)-x-2]
=(x+3)/[2(x-2)]÷[5/(x-2)-(x+2)(x-2)/(x-2)]
=(x+3)/[2(x-2)]÷{[(5-(x²-4)]/(x-2)}
=(x+3)/[2(x-2)]÷[-(x²-9)/(x-2)]
=(x+3)/[2(x-2)]×[-(x-2)/(x+3)(x-3)]
= -1/[2(x-3)]
=(x+3)/[2(x-2)]÷[5/(x-2)-(x+2)(x-2)/(x-2)]
=(x+3)/[2(x-2)]÷{[(5-(x²-4)]/(x-2)}
=(x+3)/[2(x-2)]÷[-(x²-9)/(x-2)]
=(x+3)/[2(x-2)]×[-(x-2)/(x+3)(x-3)]
= -1/[2(x-3)]
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