已知m^2+m-1=0,则-m^3-2m^2+2009=
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已知m^2+m-1=0,则-m^3-2m^2+2009=
已知m^2+m-1=0,则-m^3-2m^2+2009=
已知m^2+m-1=0,则-m^3-2m^2+2009=
-m^3-2m^2+2009
=-m^3-m^2+m-m^2-m+1+2008
=-(m^3+m^2-m)-(m^2+m-1)+2008
=-m(m^2+m^-1)-(m^2+m-1)+2008
=2008
m^2+m-1=0
m^2+m=1
-m^2=m-1
-m^3-2m^2+2009=
=-m^2(m+2)+2009
=(m-1)(m+2)+2009
=m^2+m-2+2009
=1-2+2009
=2008
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