1+n-m/m+2n÷m²-n²/m²+4mn+4n²=
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![1+n-m/m+2n÷m²-n²/m²+4mn+4n²=](/uploads/image/z/3811217-41-7.jpg?t=1%2Bn-m%2Fm%2B2n%C3%B7m%26%23178%3B-n%26%23178%3B%2Fm%26%23178%3B%2B4mn%2B4n%26%23178%3B%3D)
1+n-m/m+2n÷m²-n²/m²+4mn+4n²=
1+n-m/m+2n÷m²-n²/m²+4mn+4n²=
1+n-m/m+2n÷m²-n²/m²+4mn+4n²=
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数学之美团为你解答
1 + (n-m)/(m+2n) ÷ (m²-n²) / (m²+4mn+4n²)
= 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)
1+n-m/m+2n÷m²-n²/m²+4mn+4n²
=1+(n-m)/(m+2n)÷[(m+n)(m-n)]/(m+2n)^2
=1-1/(m+n)
=(m+n-1)/(m+n)