(m-n)/(2m+2n)-(m的平方+n的平方)/(m的平方-n的方) 等于?

学习 时间:2026-04-07 18:35:51 阅读:2837
(m-n)/(2m+2n)-(m的平方+n的平方)/(m的平方-n的方) 等于?

最佳回答

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2026-04-07 18:35:51

(m-n)/(2m+2n)-(m²+n²)/(m²-n²)=(m-n)/[2(m+n)]-(m²+n²)/[(m+n)(m-n)]=[(m-n)²-2(m²+n²)]/[2(m+n)(m-n)]=(m²-2mn+n²-2m²-2n²)/[2(m+n)(m-n)]=-(m²+2mn+n²)/[2(m+n)(m-n)]=-(m+n)²/[2(m+n)(m-n)]=-(m+n)/[2(m-n)]

最新回答共有2条回答

  • 合适的河马
    回复
    2026-04-07 18:35:51

    (m-n)/(2m+2n)-(m²+n²)/(m²-n²)=(m-n)/[2(m+n)]-(m²+n²)/[(m+n)(m-n)]=[(m-n)²-2(m²+n²)]/[2(m+n)(m-n)]=(m²-2mn+n²-2m²-2n²)/[2(m+n)(m-n)]=-(m²+2mn+n²)/[2(m+n)(m-n)]=-(m+n)²/[2(m+n)(m-n)]=-(m+n)/[2(m-n)]

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