计算:4m²-4m+1/m+1 ÷ 4m²-1/m²-1

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计算:4m²-4m+1/m+1÷4m²-1/m²-1计算:4m²-4m+1/m+1÷4m²-1/m²-1计算:4m²-4m+1/m

计算:4m²-4m+1/m+1 ÷ 4m²-1/m²-1
计算:4m²-4m+1/m+1 ÷ 4m²-1/m²-1

计算:4m²-4m+1/m+1 ÷ 4m²-1/m²-1
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)

=(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)