∵m²+m-1=0
∴m²+m=1
∴m³+2m²+2007
=m³+m²-m+m²+m+2007
=m(m²+m-1)+(m²+m-1)+2008
=0+0+2008
=2008
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已知m²+m-1=0,求m³+2m²+2007旳值
∵m²+m-1=0
∴m²+m=1
∴m³+2m²+2007
=m³+m²-m+m²+m+2007
=m(m²+m-1)+(m²+m-1)+2008
=0+0+2008
=2008
【中学生数理化】团队为您答题,
请点击下面的【选为满意回答】按钮.