作业帮计算：1/(x-1)-1/(x+1)-2/(x²+1)-4/(x的4次方+1)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/09 04:37:29
计算：1/(x-1)-1/(x+1)-2/(x²+1)-4/(x的4次方+1)
计算：1/(x-1)-1/(x+1)-2/(x²+1)-4/(x的4次方+1)
计算：1/(x-1)-1/(x+1)-2/(x²+1)-4/(x的4次方+1)
=（x+1)/(x^2-1)-(x-1)/(x^2-1)-2/(x^2+1)-4/(x^4+1)
=2/(x^2-1)-2/(x^2+1)-4/(x^4+1)
=2(x^2+1)/(x^4-1)-2(x^2-1)/(x^4-1)-4/(x^4+1)
=4/(x^4-1)-4/(x^4+1)
=8/(x^8-1)
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