化简 2x^2+2x分之x-1÷x^2-1分之x^2-2x+1-x分之1
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/17 23:24:52
化简 2x^2+2x分之x-1÷x^2-1分之x^2-2x+1-x分之1
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![化简 2x^2+2x分之x-1÷x^2-1分之x^2-2x+1-x分之1](/uploads/image/z/19150871-23-1.jpg?t=%E5%8C%96%E7%AE%80+2x%5E2%2B2x%E5%88%86%E4%B9%8Bx-1%C3%B7x%5E2-1%E5%88%86%E4%B9%8Bx%5E2-2x%2B1-x%E5%88%86%E4%B9%8B1)
(x-1)/(2x^2+2x)÷(x^2-2x+1)/(x^2-1)-1/x
=(x-1)/〔2x(x+1)〕×(x+1)(x-1)/(x-1)^2-1/x
=(x-1)/〔2x(x+1)〕×(x+1)/(x-1)-1/x
=1/2x-1/x
=1/2x-2/2x
=-1/2x
=(x-1)/〔2x(x+1)〕×(x+1)(x-1)/(x-1)^2-1/x
=(x-1)/〔2x(x+1)〕×(x+1)/(x-1)-1/x
=1/2x-1/x
=1/2x-2/2x
=-1/2x
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