化简(2m/m2-4-1/m-2)÷(1-1/m+2)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 07:04:17

化简(2m/m2-4-1/m-2)÷(1-1/m+2)
化简(2m/m2-4-1/m-2)÷(1-1/m+2)

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)]

[2m/(m²-4)-1/(m-2)]÷[1-1/(m+2)]
=(m-2)/[(m+2)(m-2)]·[(m+2)/(m+1)]
=1/(m+1)