(m+1)/(2m^2-2m)×(2m/m+1)^2-(1/m-1-1/m+1)
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(m+1)/(2m^2-2m)×[2m/(m+1)]^2-[1/(m-1) -1/(m+1)]
=(m+1)/[2m(m-1)] × 4m²/(m+1)² - (m+1- m+1)/[(m-1)(m+1)]
=2m/[(m-1)(m+1)] - 2/[(m-1)(m+1)]
=(2m-2)/[(m-1)(m+1)]
=2/(m+1)
=(m+1)/[2m(m-1)] × 4m²/(m+1)² - (m+1- m+1)/[(m-1)(m+1)]
=2m/[(m-1)(m+1)] - 2/[(m-1)(m+1)]
=(2m-2)/[(m-1)(m+1)]
=2/(m+1)
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