若n2+n-1=0,则n3+2n2+2008=

发布时间:2021-02-23 17:12:22

若n2+n-1=0,则n3+2n2+2008=

网友回答

∵n2+n-1=0,
∴n3+2n2+2008
=n(n2+n-1)+(n2+n-1)+2009
=0+0+2009
=2009.
故答案为:2009.
======以下答案可供参考======
供参考答案1:
这个容易的很,你把后边的式子拆成 n^3+n^2+n^2+2008=n(n^2+n)+n^2+2008=n+n^2+2008=2009
供参考答案2:
N^2+N=1有N^3+N^2=N所以
N^3+2N^2+2008
=(N^3+N^2)+N^2+2008
=N+N^2+2008
=2009供参考答案3:
n^3+2*n^2+2008
=(n^3+n^2-n)+(n^2+n-1)+2009
=n*(n^2+n-1)+(n^2+n-1)+2009
=0+0+2009
=2009
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