nerve已知m+n=3,mn=2/3,求m^3n-m^2n^2+mn^3

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nerve已知m+n=3,mn=2/3,求m^3n-m^2n^2+mn^3nerve已知m+n=3,mn=2/3,求m^3n-m^2n^2+mn^3nerve已知m+n=3,mn=2/3,求m^3n-

nerve已知m+n=3,mn=2/3,求m^3n-m^2n^2+mn^3
nerve已知m+n=3,mn=2/3,求m^3n-m^2n^2+mn^3

nerve已知m+n=3,mn=2/3,求m^3n-m^2n^2+mn^3
m^3n-m^2n^2+mn^3=2/3m^2-4/9+2/3n^2=2/3(m^2+2mn+n^2)-4/3mn-4/9=6-4/3=14/3

m^3*n-m^2*n^2+mn^3 =mn(m^2-mn+n^2) =mn[(m+n)^2-3mn] =(2/3)(3^2-2) =14/3