m的平方加上m等于1,求m的次方加上2乘以m的平方加上2008

问题描述:

m的平方加上m等于1,求m的次方加上2乘以m的平方加上2008
m²+m=1 求 m³+2m²+2008 还是题目出错了

m²+m=1,
则m³+2m²+2008=m(m²+2m)+2008=m(m²+m+m)+2008
=m(m+1)+2008=m²+m+2008=1+2008=2009