关于x,y的多项式6mx²+4nxy+2x+2xy—x²+y+4不含二次项,求6m-2n+2的值
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关于x,y的多项式6mx²+4nxy+2x+2xy—x²+y+4不含二次项,求6m-2n+2的值
关于x,y的多项式6mx²+4nxy+2x+2xy—x²+y+4不含二次项,求6m-2n+2的值
关于x,y的多项式6mx²+4nxy+2x+2xy—x²+y+4不含二次项,求6m-2n+2的值
6mx²+4nxy+2x+2xy—x²+y+4
=(6m-1)x^2+(4n+2)xy+2x+y+4
不含二次项
6m-1=0 4n+2=0
m=1/6 n=-1/2
6m-2n+2=1+1+2=4
6mx²+4nxy+2x+2xy—x²+y+4的二次项为6mx²、4nxy、2xy、x²这4项
因为它不含二次项,所以,
6mx²+4nxy+2xy—x²恒为0即(6m-1)x²+(4n-2)xy恒为0
所以(6m-1)=0,(4n-2)=0,即6m=1,2n=1
所以6m-2n+2=1-1+2=2