
先化解再求值:(3x/x+1-x/x-1)*x^2-1/x-2,其中x=根号3/2
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[3x/(x+1) -x/(x-1)]*(x²-1)/(x-2)
=[3x/(x+1) *(x²-1) -x/(x-1) *(x^2-1)]÷(x-2)
=[3x(x-1)-x(x+1)]÷(x-2)
=(3x²-3x-x²-x)÷(x-2)
=(2x²-4x)÷(x-2)
=2x
=2*根号3/2
=根号3
=[3x/(x+1) *(x²-1) -x/(x-1) *(x^2-1)]÷(x-2)
=[3x(x-1)-x(x+1)]÷(x-2)
=(3x²-3x-x²-x)÷(x-2)
=(2x²-4x)÷(x-2)
=2x
=2*根号3/2
=根号3
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