m^2+m-1=0,则m^3+2m^2+1等于?如题

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m^2+m-1=0,则m^3+2m^2+1等于?如题m^2+m-1=0,则m^3+2m^2+1等于?如题m^2+m-1=0,则m^3+2m^2+1等于?如题m^2+m-1=0m^2+m=1m^3+2m

m^2+m-1=0,则m^3+2m^2+1等于?如题
m^2+m-1=0,则m^3+2m^2+1等于?
如题

m^2+m-1=0,则m^3+2m^2+1等于?如题
m^2 + m - 1 = 0
m^2 + m = 1
m^3 + 2m^2 + 1 = m(m^2 + m) + m^2 + 1
= m + m^2 + 1
= 1 + 1
= 2

2

m^2+m-1=0
m^2+m=1
m^3+2m^2+1
=m(m^2+m)+m^2+1
=m+m^2+1
=1+1
=2

m^3+2m^^2+1
=m^3+m^2+m^2+1
=m(m^2+m)+m^2+1
=m+m^2+1
=1+1=2

m^2+m-1=0
m^3+m^2-m=0
m^3+2m^2+1=m^3+m^2+m^2+1
=m+m^2+1
=1+1
=2

m^2+m-1=0,两边同时乘以m,得
m^3+m^2-m=0,两边同时加上1+m^2,得
m^3+2m^2-m+1=1+m^2,整理一下,得
m^3+2m^2+1=1+m^2+m
由m^2+m-1=0,可知,m^2+m=1
故而1+m^2+m=2
故而m^3+2m^2+1=2