计算：4m²-4m+1/m+1 ÷ 4m²-1/m²-1
问题描述：
计算：4m²-4m+1/m+1 ÷ 4m²-1/m²-1
答
=(2m-1)²/(m+1) ÷(2m-1)(2m+1)/(m-1)(m+1)
=(2m-1)²/(m+1)×(m+1)(m-1)/(2m-1)(2m+1)
=(2m-1)(m-1)/(2m+1)
=(2m²-3m+1)/(2m+1)
答
4m²-4m+1/m+1 ÷ 4m²-1/m²-1
=(2m-1)²/(m+1)×m²-1/4m²-1
=(2m-1)²/(m+1)×(m+1)(m-1)/(2m+1)(2m-1)
=(2m-1)(m-1)/(2m+1)