作业帮X-(1-X分之1+X平方-1分之X立方-3X+1)/(4-X平方)
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/01 17:55:40
X-(1-X分之1+X平方-1分之X立方-3X+1)/(4-X平方)
x-[1/(1-x)+(x^3-3x+1)/(x^2-1)]/(4-x^2)
=x-[-1/(x-1)+(x^3-3x+1)/(x^2-1)]/(4-x^2)
=x-[-(x+1)/(x-1)(x+1)+(x^3-3x+1)/(x-1)(x+1)]/(4-x^2)
=x-{[-(x+1)+(x^3-3x+1)]/(x-1)(x+1)}/(4-x^2)
=x-{[-x-1+x^3-3x+1]/(x-1)(x+1)}/(4-x^2)
=x-{[x^3-4x]/(x-1)(x+1)}/(4-x^2)
=x+{[x^3-4x]/(x-1)(x+1)}/(x^2-4)
=x+{x[x^2-4]/(x-1)(x+1)}/(x^2-4)
=x+x/(x-1)(x+1)
=x+x/(x-1)(x+1)
=x(x-1)(x+1)/(x-1)(x+1)+x/(x-1)(x+1)
=x(x^2-1)/(x-1)(x+1)+x/(x-1)(x+1)
=(x^3-x)/(x-1)(x+1)+x/(x-1)(x+1)
=(x^3-x+x)/(x-1)(x+1)
=x^3/(x-1)(x+1)
=x^3/(x^2-1)
=x-[-1/(x-1)+(x^3-3x+1)/(x^2-1)]/(4-x^2)
=x-[-(x+1)/(x-1)(x+1)+(x^3-3x+1)/(x-1)(x+1)]/(4-x^2)
=x-{[-(x+1)+(x^3-3x+1)]/(x-1)(x+1)}/(4-x^2)
=x-{[-x-1+x^3-3x+1]/(x-1)(x+1)}/(4-x^2)
=x-{[x^3-4x]/(x-1)(x+1)}/(4-x^2)
=x+{[x^3-4x]/(x-1)(x+1)}/(x^2-4)
=x+{x[x^2-4]/(x-1)(x+1)}/(x^2-4)
=x+x/(x-1)(x+1)
=x+x/(x-1)(x+1)
=x(x-1)(x+1)/(x-1)(x+1)+x/(x-1)(x+1)
=x(x^2-1)/(x-1)(x+1)+x/(x-1)(x+1)
=(x^3-x)/(x-1)(x+1)+x/(x-1)(x+1)
=(x^3-x+x)/(x-1)(x+1)
=x^3/(x-1)(x+1)
=x^3/(x^2-1)
计算x平方+x+1+1-x分之x立方
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