作业帮m^2+m-1=0,求m^3+2m^2+2013
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 22:34:24
m^2+m-1=0,求m^3+2m^2+2013
m^2+m-1=0,求m^3+2m^2+2013
m^2+m-1=0,求m^3+2m^2+2013
m^2+m-1=0
m^2+m=1
m^3+2m^2+2013
=m^3+m^2+m^2+2013
=m(m^2+m)+m^2+2013
=m+m^2+2013
=1+2013
=2014
m²＋m＝1
m³＋2m²＋2013
＝m³＋m²＋m²＋2013
＝m﹙m²＋m﹚＋m²＋2013
＝m＋m²＋2013
＝1＋2013
＝2014.
∵m²+m-1=0
∴m²+m=1
∴m³+2m²+2013=m(m²+m)+m²+2013=m+m²+2013=1+2013=2014