已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=

已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=
已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=

已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=
∵m²+m-1=0,所以（m²+m-1）m=0
∴（m²+m-1）m=m³+m²-m=0
m³+2m²+2009=m³+m²-m+m²+m-1+2010=（m²+m-1）m+（m²+m-1）+2010=2010
↑
只加上了一个m平方,还缺一个,那就补上,把所有缺的全部补上了,多的全去掉了,会有新发现哦~

m²+m-1=0 ----> m²+m=1
m三次方+2m²+2009=m^3+m²+m²+2009=m( m²+m)+m²+2009=m+m²+2009=1+2009=2010

m三次方+2m²+2009=m³+m²-m+m²+m-1+2010=m(m²+m-1)+(m²+m-1)+2010=2010

2010