作业帮若m^2+m-1,求m^3+2m^2+2007的值
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/02 16:54:15
若m^2+m-1,求m^3+2m^2+2007的值
若m^2+m-1,求m^3+2m^2+2007的值
若m^2+m-1,求m^3+2m^2+2007的值
因为
m^2+m-1=0
所以m²=1-m
所以
m^3+2m^2+2007
=m(1-m)+2m²+2007
=m²+m+2007
=1+2007
=2008
m^2+m-1=0,
m^2+m=1
m^3+2m^2+2007
=m(m^2+m)+m^2+2007
=m+m^2+2007
=1+2007
=2008