由m²+m-1=0 得出 m²+2m+1=m+2,即(m+1)²=m+2.
m³+2m²+2008
=m³+2m²+m+2008-m
=m(m²+2m+1)+2008-m
=m(m+1)²+2008-m
=m(m+2)+2008-m
=m²+2m+1+2007-m
=(m+1)²+2007-m
=m+2+2007-m
=2009лл