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:搜狗做题网作业帮 分类:数学作业 时间:2024/06/26 04:21:34
X-(1-X分之1+X平方-1分之X立方-3X+1)/(4-X平方)
![X-(1-X分之1+X平方-1分之X立方-3X+1)/(4-X平方)](/uploads/image/z/1382265-9-5.jpg?t=X-%281-X%E5%88%86%E4%B9%8B1%2BX%E5%B9%B3%E6%96%B9-1%E5%88%86%E4%B9%8BX%E7%AB%8B%E6%96%B9-3X%2B1%29%2F%284-X%E5%B9%B3%E6%96%B9%29)
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)
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