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)]