关于x、y的多项式6mx2+4nxy+2x+2xy-x2+y+4不含二次项,求多项式2m2n+10m

发布时间:2021-02-23 16:47:46

关于x、y的多项式6mx2+4nxy+2x+2xy-x2+y+4不含二次项,求多项式2m2n+10m-4n+2-2m2n-4m+2n的值.

网友回答

6mx2+4nxy+2x+2xy-x2+y+4=(6m-1)x2+(4n+2)xy+2x+4,
由结果中不含二次项,得到6m-1=0,4n+2=0,即m=16
======以下答案可供参考======
供参考答案1:
∵关于x,y多项式6mx²+4nxy+2x+2xy-x²+y+4不含二次项
6m=14n=-2∴m=1/6
n=-1/2
∴2m²n+10m-4n+2-2m²n-4m+2n
=6m-2n+2
=1+1+2
=4供参考答案2:
6mx²+4nxy+2x+2xy-x²+y+4
=(6m-1)x²+(4n+2)xy+2x+y+4
∵不含有二次项
∴6m-1=0
4n+2=0
∴m=1/6
n=-1/2
2m²n+10m-4n+2-2m²n-4m+2n
=6m-2n+2
=1+1+2
=4供参考答案3:
6mx²+4nxy+2x+2xy-x²+y+4
=(6m-1)x2+(4n+2)xy+2x+y+4不含二次项,有6m-1=0,4n+2=0
解得m=1/6,n=-1/2
多项式2m²n+10m-4n+2-2m²n-4m+2n=6m-2n+2
当m=1/6,n=-1/2时
原式=6m-2n+2=6×1/6-2×(-1/2)+2=4
供参考答案4:
6m-1=0,m=1/6,4nxy+2xy=0,n=-1/2,把这两个值代入所求的代数式即可求出值
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