当k取什么值时,多项式-(x²+3kxy-3y²)-(3分之1xy-8)中不含有xy项?

问题描述:

当k取什么值时,多项式-(x²+3kxy-3y²)-(3分之1xy-8)中不含有xy项?

-(x²+3kxy-3y²)-(3分之1xy-8)
=-X2-(3K+1/3)XY+3Y^2+8
依题意:3K+1/3=0,
K=-1/9.