化简﹙2m/m2-4-1/m-2﹚÷﹙1-1/m+2﹚

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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﹚
"【2m/(m2-4)-1/(m-2)】÷【1-1/(m+2)】
=【2m/(m-2)(m+2)-(m+2)/(m-2)(m+2)】÷【(m+2-1)/(m+2)】
=【(2m-m-2)/(m-2)(m+2)】÷【(m+1)/(m+2)】
=1/(m+2)÷【(m+1)/(m+2)】
=1/(m+1)"

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)]<...

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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)]

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