若m^2+m-1,求m^3+2m^2+2007的值

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若m^2+m-1,求m^3+2m^2+2007的值若m^2+m-1,求m^3+2m^2+2007的值若m^2+m-1,求m^3+2m^2+2007的值因为m^2+m-1=0所以m²=1-m所

若m^2+m-1,求m^3+2m^2+2007的值
若m^2+m-1,求m^3+2m^2+2007的值

若m^2+m-1,求m^3+2m^2+2007的值
因为
m^2+m-1=0
所以m²=1-m
所以
m^3+2m^2+2007
=m(1-m)+2m²+2007
=m²+m+2007
=1+2007
=2008

m^2+m-1=0,
m^2+m=1
m^3+2m^2+2007
=m(m^2+m)+m^2+2007
=m+m^2+2007
=1+2007
=2008