若m²+m-1=0,求m³+2m²+2007的值

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若m²+m-1=0,求m³+2m²+2007的值
若m²+m-1=0,求m³+2m²+2007的值

若m²+m-1=0,求m³+2m²+2007的值
即m²+m=1
所以原式=m³+m²+m²+2007
=m(m²+m)+m²+2007
=m+m²+2007
=1+2007
=2008