m^2+m-2=0,求m^3+3m^2=2000的值

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m^2+m-2=0,求m^3+3m^2=2000的值
m^2+m-2=0,求m^3+3m^2=2000的值

m^2+m-2=0,求m^3+3m^2=2000的值
∵m²+m-2=0
∴m²=2-m m²+m=2
∴m³=m（2-m）=2m-m²
原式m³+3m²+2000
=2m-m²+3m²+2000
=2m²+2m+2000
=2（m²+m）+2000
=2004