若m²+m-1=0,求m³+2m²+2007的值
问题描述:
若m²+m-1=0,求m³+2m²+2007的值
答
即m²+m=1
所以原式=m³+m²+m²+2007
=m(m²+m)+m²+2007
=m+m²+2007
=1+2007
=2008