若m^2+m=1,则2m^4+2m^3+2m+2012
问题描述:
若m^2+m=1,则2m^4+2m^3+2m+2012
答
2m^4+2m^3+2m+2012
=2m^2(m^2+m)+2m+2012
=2m^2+2m+2012
=2(m^2+m)+2012
=2+2012
=2014