若m^2+m-1=0,求m^3+2m^2+2009的值

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若m^2+m-1=0,求m^3+2m^2+2009的值
若m^2+m-1=0,求m^3+2m^2+2009的值

若m^2+m-1=0,求m^3+2m^2+2009的值
∵m^2+m-1=0
∴m^2+m=1
m^3+2m^2+2009
=m^3+m^2+m^2+2009
=m(m^2+m)+m^2+2009
=m+m^2+2009
=1+2009
=2010