设m²+m=1 求m³+2m²+2005的值

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设m²+m=1求m³+2m²+2005的值设m²+m=1求m³+2m²+2005的值设m²+m=1求m³+2m²

设m²+m=1 求m³+2m²+2005的值
设m²+m=1 求m³+2m²+2005的值

设m²+m=1 求m³+2m²+2005的值
解
m²+m=1
m³+2m²+2005
=m³+m²+m²+2005
=m(m²+1)+m²+2005
=m×1+m²+2005
=m²+m+2005
=1+2005
=2006