作业帮若m^2+m=1,则2m^4+2m^3+2m+2012
来源：学生作业帮助网 编辑：作业帮 时间：2024/10/08 04:09:49
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若m^2+m=1,则2m^4+2m^3+2m+2012
若m^2+m=1,则2m^4+2m^3+2m+2012
若m^2+m=1,则2m^4+2m^3+2m+2012
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
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