m^2+m-1=0,m^3+2m^2+2004=?说明理由.
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![m^2+m-1=0,m^3+2m^2+2004=?说明理由.](/uploads/image/z/14141224-64-4.jpg?t=m%5E2%2Bm-1%3D0%2Cm%5E3%2B2m%5E2%2B2004%3D%3F%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
m^2+m-1=0,m^3+2m^2+2004=?说明理由.
m^2+m-1=0,m^3+2m^2+2004=?说明理由.
m^2+m-1=0,m^3+2m^2+2004=?说明理由.
m^3+2m^2+2004=m^2(m+2)+2004 把m^2=1-m代进去
=(1-m)(m+2)+2004
=m+2-m^2-2m+2004
=2006-(m+m^2)
=2006-1
=2005