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化简(2m/m2-4-1/m-2)÷(1-1/m+2)

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/13 07:02:45
化简(2m/m2-4-1/m-2)÷(1-1/m+2)
化简 [2m/(m2-4)-1/(m-2)]÷[1-1/(m+2)]
解,得:
==[2m/(m+2)(m-2)-1/(m-2)]÷[(m+1)/(m+2)]
==[2m/(m+2)(m-2)]÷[(m+1)/(m+2)]-[1/(m-2)]÷[(m+1)/(m+2)]
==[2m/(m+2)(m+2)(m-2)(m+1)]-[1/(m-2)(m+1)(m+2)]
==[2m-(m+2)]/[(m+2)(m+2)(m-2)(m+1)]
==(m+2)/[(m+2)(m+2)(m-2)(m+1)]
==1/[(m+2)(m-2)(m+1)]
==1/[m2-4)(m+1)]