m^2+m-1=0 求m^3+2m^2+2008=?

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m^2+m-1=0 求m^3+2m^2+2008=?
速求

m^2+m=1 m^3+2m^2+2008
m^2+m+m=1+m =m(m^2+2m)+2008
m^2+2m=1+m =m(1+m)+2008
=m^2+m+2008
=1+2008
=2009

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