若m^2+m=1,则2m^4+2m^3+2m+2012_数学解答

若m^2+m=1,则2m^4+2m^3+2m+2012

人气：438 ℃　时间：2020-04-06 04:28:56

解答

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