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）²
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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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