先化简,再求值,【(m²-2m+1)/(m²-1)】/【m-1-(m-1)/(m+1)】
问题描述:
先化简,再求值,【(m²-2m+1)/(m²-1)】/【m-1-(m-1)/(m+1)】
答
原式={(m-1)²/[(m-1)(m+1)]}÷[(m-1)(m+1)/(m+1)-(m-1)/(m+1)]
=[(m-1)/(m+1)]÷[m(m-1)/(m+1)]
=[(m-1)/(m+1)]×{(m+1)/[m(m-1)]}
=1/m