1+n-m÷m²-n² --- ---- m+2n m²+4mn+4n²1+n-m/m+2n÷m²-n²/m²+4mn+4n²

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1+n-m÷m²-n² --- ---- m+2n m²+4mn+4n²1+n-m/m+2n÷m²-n²/m²+4mn+4n²
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1+n-m÷m²-n² --- ---- m+2n m²+4mn+4n²1+n-m/m+2n÷m²-n²/m²+4mn+4n²
1+n-m÷m²-n² --- ---- m+2n m²+4mn+4n²
1+n-m/m+2n÷m²-n²/m²+4mn+4n²

1+n-m÷m²-n² --- ---- m+2n m²+4mn+4n²1+n-m/m+2n÷m²-n²/m²+4mn+4n²
1+(n-m)/(m+2n)÷【(m²-n²)/(m²+4mn+4n²)】
=1+(n-m)/(m+2n)÷【(m+n)(m-n)/(m+2n)²】
=1+(n-m)/(m+2n)*(m+2n)²/【(m+n)(m-n)】
=1-(m+2n)/(m+n)
=【(m+n)-(m+2n)】/(m+n)
=-n/(m+n)