3/x2 -3x+2-1/x-2=1/x2 -x+4/x2 -2x
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3/x2-3x+2-1/x-2=1/x2-x+4/x2-2x3/x2-3x+2-1/x-2=1/x2-x+4/x2-2x3/x2-3x+2-1/x-2=1/x2-x+4/x2-2x3/(x²
3/x2 -3x+2-1/x-2=1/x2 -x+4/x2 -2x
3/x2 -3x+2-1/x-2=1/x2 -x+4/x2 -2x
3/x2 -3x+2-1/x-2=1/x2 -x+4/x2 -2x
3/(x²-3x+2)-1/(x-2)=1/(x²-x)+4/(x²-2x)
3/[(x-1)(x-2)]-1/(x-2)=1/x(x-1)+4/x(x-2)
3x/[x(x-1)(x-2)]-x(x-1)/[x(x-1)(x-2)]=(x-2)/[x(x-1)(x-2)]+4(x-1)/[x(x-1)(x-2)]
3x-x(x-1)=x-2+4(x-1)
3x-x²+x=x-2+4x-4
x²-x-6=0
(x-3)(x+2)=0
x1=3 x2=-2
当x=-2时,原式无意义.
x=3
先移项,化简得到 -1/x=2/x2 x=-2
3/x2 -3x+2-1/x-2=1/x2 -x+4/x2 -2x
(x+1)(x2-x+1)+(x-2)(x2+2x+4),其中x=-3/2
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