化简m/(m+n)²+n/m²-n²-2n²/(m+n)(m²-n
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/21 23:42:50
化简m/(m+n)²+n/m²-n²-2n²/(m+n)(m²-n²﹚
楼主所给式子,是m/(m+n)²+n/(m²-n²)-2n²/[(m+n)(m²-n²)]
如果是的话:
m/(m+n)²+n/(m²-n²)-2n²/[(m+n)(m²-n²)]
=m/(m+n)²+n/[(m-n)(m+n)]-2n²/[(m+n)²(m-n)]
=[m(m-n)+n(m+n)-2n²]/[(m+n)²(m-n)]
=(m²-mn+mn+n²-2n²)/[(m+n)²(m-n)]
=(m²-n²)/[(m+n)²(m-n)]
=(m-n)(m+n)/[(m+n)²(m-n)]
=1/(m+n)
如果是的话:
m/(m+n)²+n/(m²-n²)-2n²/[(m+n)(m²-n²)]
=m/(m+n)²+n/[(m-n)(m+n)]-2n²/[(m+n)²(m-n)]
=[m(m-n)+n(m+n)-2n²]/[(m+n)²(m-n)]
=(m²-mn+mn+n²-2n²)/[(m+n)²(m-n)]
=(m²-n²)/[(m+n)²(m-n)]
=(m-n)(m+n)/[(m+n)²(m-n)]
=1/(m+n)
化简m/(m+n)²+n/m²-n²-2n²/(m+n)(m²-n
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[(m+n)(m-n)-(m-n)²+2n(m-n)]÷4n
【(m+n)(m-n)-(m-n²)+2n(m-n)】÷4n
mn(m-n)²-n(n-m)³=n(m-n)²( )
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(m²-2m)²n+2n(m²-2m)+n
化简(m²/m-n - m+n)÷2m²-mn/n - m
m²n(m-n)-4mn(n-m)
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化简(m-n)²
m-n²+m-n²