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:2024/06/24 07:52:03
![m^2+m-1=0,求m^3+2m^2+2013](/uploads/image/z/13029895-55-5.jpg?t=m%5E2%2Bm-1%3D0%2C%E6%B1%82m%5E3%2B2m%5E2%2B2013)
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
m^3+2m^2+2013
=m³+m²-m+m²+m-1+2014
=m(m²+m-1)+(m²+m-1)+2014
=0+0+2014
=2014
m²+m=1
则:
m³+2m²+2013
=(m³+m²)+m²+2013
=m(m²+m)+m²+2013
=m+m²+2013
=1+2013
=2014
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
m^2+m-1=0
m^2=-m+1
m^3+2m^2+2013
=m^2(m+2)+2013
=(-m+1)(m+2)+2013
=-m^2-m+2+2013
=-1+2015
=2014