1/(2+2x)-x/(x2-1)+1/(x-1)分式加减

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1/(2+2x)-x/(x2-1)+1/(x-1)分式加减
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1/(2+2x)-x/(x2-1)+1/(x-1)分式加减
1/(2+2x)-x/(x2-1)+1/(x-1)分式加减

1/(2+2x)-x/(x2-1)+1/(x-1)分式加减
1/(2 + 2x) - x/(x^2 - 1) + 1/(x - 1)
= 1/2(x + 1) - x/(x + 1)(x - 1) + 1/(x - 1)
= (x - 1)/2(x + 1)(x - 1) - 2x/2(x + 1)(x - 1) + 2(x + 1)/2(x + 1)(x - 1)
= [ (x - 1) - 2x + 2(x + 1)]/2(x + 1)(x - 1)
= ( x - 1 - 2x + 2x + 2)/2(x + 1)( x - 1)
= ( x + 1)/2(x + 1)(x - 1)
= 1/2(x -1)

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