m^2+m-1=0 则m^3+2m^2+2010=?

m^2+m-1=0 则m^3+2m^2+2010=?
m^2+m-1=0 则m^3+2m^2+2010=?

m^2+m-1=0 则m^3+2m^2+2010=?
m^3+2m^2+2010 =(m^3+m^2-m)+m^2+m+2010 =m(m^2+m-1)+m^2+m-1+2011 =m·0+0+2011 =2011

m^2+m-1=0 ∴m^2+m=1 ∵m^2+m-1=0 两边乘以m得 m^3+m^2-m=0 ∴m^3+2m^2+2010 =m^3+m^2-m+m+m^2+2010 =m+m^2+2010 =2011 还有不懂可以追问 希望采纳