若m²+m=1,则m^3+2m²+2009=

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若m²+m=1,则m^3+2m²+2009=
若m²+m=1,则m^3+2m²+2009=

若m²+m=1,则m^3+2m²+2009=
m³+2m²
=m³+m²+m²
=m(m²+m)+m²
=m+m²
=1
所以原式=2010