1.设m^2+m-1=0,则m^3+2*m^2+2009的值是.2.已知单项式M、N满足2x(M+3x)=6x^2y^2+N,则M=,N=__.1L，你看错了.是m^3-2m^2+2009 ,不是-m^3-2m^2+2009 3L，1+2009=3000？错得。

来源：学生作业帮助网编辑：作业帮时间：2024/05/12 05:56:39

1.设m^2+m-1=0,则m^3+2*m^2+2009的值是__________.2.已知单项式M、N满足2x(M+3x)=6x^2y^2+N,则M=__________,N=__________.1L，你看错了.是m^3-2m^2+2009 ,不是-m^3-2m^2+2009 3L，1+2009=3000？错得。
1.设m^2+m-1=0,则m^3+2*m^2+2009的值是__________.
2.已知单项式M、N满足2x(M+3x)=6x^2y^2+N,则M=__________,N=__________.
1L，你看错了.是m^3-2m^2+2009 ,不是-m^3-2m^2+2009
3L，1+2009=3000？错得。

1.设m^2+m-1=0,则m^3+2*m^2+2009的值是__________.2.已知单项式M、N满足2x(M+3x)=6x^2y^2+N,则M=__________,N=__________.1L，你看错了.是m^3-2m^2+2009 ,不是-m^3-2m^2+2009 3L，1+2009=3000？错得。
1
∵m²+m-1=0 ①∴m³+m²-m=0 ②
①+② m³+2m²-1=0
∴原式=2010
2
M=3xy² N=6x²
赐我点分吧

-m^3-2m^2+2009 =-m^3-m^2+m-m^2-m+1+2008 =-(m^3+m^2-m)-(m^2+m-1)+2008 =-m(m^2+m^-1)-(m^2+m-1)+2008 =2008
由于2x(M+3x)=6x^2y^2+N，所以2xM+6x^2=6x^2y^2+N 比较可知2xM=6x^2y^2，6x^2=N 所以M=3xy^2,N=6x^2

第1题
∵ m^2 + m - 1 = 0
∴ m^2 + m = 1
∴ m^3 + 2m^2 + 2009 = m(m^2 + m) + m^2 + 2009 = m + m^2 + 2009 = 1 + 2009 = 3000
第2题
∵ 2x(M+3x)=6x^2y^2+N
∴ 2xM+6x^2=6x^2y^2+N
比较可知：
2xM=6x^2y^2，6x^2=N
故： M=3xy^2,N=6x^2

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