Question

已知m方+m-1=0.求m立方+2m平方-2012的值

Answer 1

解：m²+m-1=0
　　m²=1-m

　　m³+2m²+2012
　　=m³+2m²+2012
　　=m(1-m)+2m²+2012
　　=m²+m+2012
　　=1-m+m+2012
　　=2013

Answer 2

m^2+m=1
m^3+2m^2-2012
=m^3+m^2+m^2-2012
=m(m^2+m)+m^2-2012
=m+m^2-2012
=1-2012
=-2011