
已知m/n=5/3,求m/(m+n)+m/(m-n)-(n^2)/(m^2-n^2)的值
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m/(m+n)+m/(m-n)-(n^2)/(m^2-n^2)
=(m^2-mn+m^2+mn)-(n^2)/(m^2-n^2)
=(2m^2-n^2)/(m^2-n^2)
m/n=5/3 m=5n/3
原式=(50n^2/9-n^2)/(25n^2/9-n^2)
=41n^2/9/16n^2/9
=41/16
=(m^2-mn+m^2+mn)-(n^2)/(m^2-n^2)
=(2m^2-n^2)/(m^2-n^2)
m/n=5/3 m=5n/3
原式=(50n^2/9-n^2)/(25n^2/9-n^2)
=41n^2/9/16n^2/9
=41/16
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