(X-1)分之1-(X+1)分之1-(X²+1)分之2-(X的4次方+1)分之4
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(X-1)分之1-(X+1)分之1-(X²+1)分之2-(X的4次方+1)分之4
![(X-1)分之1-(X+1)分之1-(X²+1)分之2-(X的4次方+1)分之4](/uploads/image/z/15334732-28-2.jpg?t=%EF%BC%88X-1%EF%BC%89%E5%88%86%E4%B9%8B1-%EF%BC%88X%2B1%EF%BC%89%E5%88%86%E4%B9%8B1-%EF%BC%88X%26%23178%3B%2B1%29%E5%88%86%E4%B9%8B2%EF%BC%8D%EF%BC%88X%E7%9A%844%E6%AC%A1%E6%96%B9%EF%BC%8B1%EF%BC%89%E5%88%86%E4%B9%8B4)
1/(x-1) - 1/(x+1)-2/(x^2+1)- 4/(x^4 +1)
=[(x+1)-(x-1)] /[ (x-1)(x+1)] -2/(x^2+1)- 4/(x^4 +1)
=2/(x^2-1)-2/(x^2+1)- 4/(x^4 +1)
=[2(x^2+1)-2(x^2-1)] / [(x^2-1)(x^2+1)] - 4/(x^4 +1)
=4/(x^4-1)- 4/(x^4 +1)
=[4(x^4+1)-4(x^4-1)] / [(x^4-1)(x^4+1)]
=8/(x^8-1)
=[(x+1)-(x-1)] /[ (x-1)(x+1)] -2/(x^2+1)- 4/(x^4 +1)
=2/(x^2-1)-2/(x^2+1)- 4/(x^4 +1)
=[2(x^2+1)-2(x^2-1)] / [(x^2-1)(x^2+1)] - 4/(x^4 +1)
=4/(x^4-1)- 4/(x^4 +1)
=[4(x^4+1)-4(x^4-1)] / [(x^4-1)(x^4+1)]
=8/(x^8-1)
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