m^2+m-1=0,求m^3+2m^2+2012的值
问题描述：
m^2+m-1=0,求m^3+2m^2+2012的值
答
m^3+2m^2+2012=m(m^2+m-1)+m^2+m-1+2013
=2013
答
因为m^2+m-1=0
所以m^2+m=1
所以m^3+2m^2+2012
=(m^3+m^2)+m²+2012
=m(m²+m)+m²+2012
=m*1+m²+2012
=m+m²+2012
=1+2012
=2013