多项式2(x2-3xy-y2)-(x2+2mxy+2y2)中不含xy项,则m=_.

问题描述:

多项式2(x2-3xy-y2)-(x2+2mxy+2y2)中不含xy项,则m=______.

∵多项式2(x2-3xy-y2)-(x2+2mxy+2y2)=2x2-6xy-2y2-x2-2m xy-2y2=x2+(-6-2m )xy-4y2
又∵多项式2(x2-3xy-y2)-(x2+2mxy+2y2)中不含xy项,
∴-6-2m=0,解得m=-3.