若m²+m-1=0,求m³+2m²+2007的值
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若m²+m-1=0,求m³+2m²+2007的值
![若m²+m-1=0,求m³+2m²+2007的值](/uploads/image/z/15660141-69-1.jpg?t=%E8%8B%A5m%26%23178%3B%2Bm-1%3D0%2C%E6%B1%82m%26%23179%3B%2B2m%26%23178%3B%2B2007%E7%9A%84%E5%80%BC)
即m²+m=1
所以原式=m³+m²+m²+2007
=m(m²+m)+m²+2007
=m+m²+2007
=1+2007
=2008
所以原式=m³+m²+m²+2007
=m(m²+m)+m²+2007
=m+m²+2007
=1+2007
=2008
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