设m²+m-1=0,求m^3+2m²+2009的值,

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设m²+m-1=0,求m^3+2m²+2009的值,
设m²+m-1=0,求m^3+2m²+2009的值,

设m²+m-1=0,求m^3+2m²+2009的值,
原式=m(m²+2m)+2009
=m(m²+m+m)+2009
=m(1+m)+2009
=m²+m+2009
=1+2009
=2010