若m²+m-1=0,求m³+2×m²+2009等于什么

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/30 11:10:43

因为 m²+m-1=0--------
所以,m²=1-m,m=1-m²---
m³+2×m²+2009=m²*m+2×m²+2009
=m²*（m+2）+2009
=（1-m）*（m+2）+2009
=m+2-m²-2m+2009
=[（1-m²）-m]+2010 -----------上面有这个m=1-m²---
=2010
----------------------------------------------------------------OK啦---------------------------------

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