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X²-1分之X²-2X除以(X+1分之2X-1减X+1)当X等于2时,求值

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/21 13:02:34
X²-1分之X²-2X除以(X+1分之2X-1减X+1)当X等于2时,求值
(x^2-2x)/(x^2-1)÷[(2x-1)/(x+1)-x+1]
=(x^2-2x)/(x^2-1)÷[(2x-1)/(x+1)-(x-1)(x+1)/(x+1)]
=(x^2-2x)/(x^2-1)÷[(2x-1)/(x+1)-(x^2-1)/(x+1)]
=(x^2-2x)/(x^2-1)÷[(2x-1-x^2+1)/(x+1)]
=(x^2-2x)/(x^2-1)÷[(2x-x^2)/(x+1)]
=(x^2-2x)/(x^2-1)*(x+1)/(2x-x^2)
=(x^2-2x)/(x^2-1)*[-(x+1)/(x^2-2x)]
=-(x+1)/(x^2-1)
=-(x+1)/[(x-1)(x+1)]
=-1/(x+1)
=-1/(2+1)
=-1/3