m²－2m＋1／m²－1÷﹙m－1－m－1／m＋1﹚其中m=根号3

m²－2m＋1／m²－1÷﹙m－1－m－1／m＋1﹚其中m=根号3
m²－2m＋1／m²－1÷﹙m－1－m－1／m＋1﹚其中m=根号3

m²－2m＋1／m²－1÷﹙m－1－m－1／m＋1﹚其中m=根号3
原式=(m-1)²/(m+1)(m-1)÷[(m-1)(m+1-1)/(m+1)]
=(m-1)/(m+1)×(m+1)/m(m-1)
=1/m
=根号3/3

原式=(m-1)^2/(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
代入数值，得 1/√3=√3/3

(m²-2m+1)／(m²-1)÷[(m-1-m-1)／(m+1)]
=(m-1)²/[(m+1)(m-1)]÷[(-2)/(m+1)]
=(m-1)/(m+1)*(m+1)(-2)
=-(m-1)/2
=(1-√3)/2