m-m²/(m²-1)÷m/(m-1)x(m+1)/(m-1)²

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m-m²/(m²-1)÷m/(m-1)x(m+1)/(m-1)²m-m²/(m²-1)÷m/(m-1)x(m+1)/(m-1)²m-m

m-m²/(m²-1)÷m/(m-1)x(m+1)/(m-1)²
m-m²/(m²-1)÷m/(m-1)x(m+1)/(m-1)²

m-m²/(m²-1)÷m/(m-1)x(m+1)/(m-1)²

原式
=-m(m-1)/(m+1)(m-1) × (m-1)/m x(m+1)/(m-1)²
=-m/(m+1) ×(m-1)/m x(m+1)/(m-1)²
=-m/(m+1)×(m-1)/m x(m+1)/(m-1)²
=-1/(m-1)
=1/(1-m)


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