若m^2+m=1,则2m^4+2m^3+2m+2012

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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+20122m^4+2m^3+2m+2012=2

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