已知关于xy的多项式6mx平方+4nxy+2x+2xy-x平方+y+4不含二项式,求6m-2n+2的值!
问题描述:
已知关于xy的多项式6mx平方+4nxy+2x+2xy-x平方+y+4不含二项式,求6m-2n+2的值!
答
6mx²+4nxy+2x+2xy-x²+y+4
=(6m-1)x²+(4n+2)xy+2x
6m-1=0.4n+2=0
6m=1,2n=-1
6m-2n+2=1+1+2=4
答
已知关于xy的多项式6mx平方+4nxy+2x+2xy-x平方+y+4不含二次项,求6m-2n+2的值
6mx平方+4nxy+2x+2xy-x平方+y+4
=(6m-1)x²+(4n+2)xy+2x+y+4
6m-1=0
4n+2=0
m=1/6
n-1/2
6m-2n+2
=6*1/6-2*(-1/2)+2
=1+1+2
=4
答
6mx²+4nxy+2x+2xy-x²+y+4
=(6m-1)x²+(4n+2)xy+2x+y+4
前两项是二次项
所以他们的系数是0
6m-1=0.4n+2=0
6m=1,2n=-1
6m-2n+2=1+1+2=4