已知m+n=3求多项式2m^2+4mn+2n^2-3m-3n+1一样要有方法==

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已知m+n=3求多项式2m^2+4mn+2n^2-3m-3n+1一样要有方法==
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已知m+n=3求多项式2m^2+4mn+2n^2-3m-3n+1一样要有方法==
已知m+n=3求多项式2m^2+4mn+2n^2-3m-3n+1一样要有方法==

已知m+n=3求多项式2m^2+4mn+2n^2-3m-3n+1一样要有方法==
2m^2+4mn+2n^2-3m-3n+1
=2(m^2+2mn+n^2)-3(m+n)+1
=2(m+n)^2-3(m+n)+1
=[2(m+n)-1][(m+n)-1]
=(2*3-1)(3-1)
=5*2
=10