若m^2+m-1=0,则m^3+2m^2+2010=?
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若m^2+m-1=0,则m^3+2m^2+2010=?
若m^2+m-1=0,则m^3+2m^2+2010=?
若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^3+2m^2+2010
=m(m^2+m)+m^2+2010
=m*1+m^2+2010
=1+2010
=2011
m^3+2m^2+2010
=m^3 + m^2 + 2010 + m^2
=m*(m^2+m) + 2010 + m^2
由题可得m^2+m=1
则有m + 2010 + m^2
=2011