如果m²+m-1=0,问;m³+2m²-2014的值是多少?
问题描述:
如果m²+m-1=0,问;m³+2m²-2014的值是多少?
答
∵m²+m-1=0,
∴m²+m=1
则m³+2m²-2014
=m³+m²+m²-2014
=m(m²+m)+m²-2014
=m+m²-2014
=1-2014
=-2013