(m+n)x^n乘y^m-2的值再乘3xy^2与5x^2乘y的和等于21x^m乘y^n+1

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收藏|2020/04/18 11:10

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2020/04/18 11:40

(m+n)x^n*y^(m-2)(3xy^2+5x^2y)=21x^my^(n+1)+35x^(m+1)y^n(m+n)x^n*y^(m-2)(3xy^2+5x^2y)=7x^(m-1)y^(n-1)*3xy^2+7x^(m-1)y^(n-1)*5x^2y(m+n)x^n*y^(m-2)(3xy^2+5x^2y)=7x^(m-1)y^(n-1)(3xy^2+5x^2y)即:(m+n)x^n*y^(m-2)=7x^(m-1)y^(n-1)m+n=7n=m-1m-2=n-1解得:m=4,n=3

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