要使多项式2mxy-xy+1-2x2-4mxy+5x2+7xy中不含xy项,则m的值为_.

问题描述:

要使多项式2mxy-xy+1-2x2-4mxy+5x2+7xy中不含xy项,则m的值为______.

2mxy-xy+1-2x2-4mxy+5x2+7xy
=5x2-2x2-4mxy+7xy+2mxy-xy+1
=3x2+(-4m+7+2m-1)xy+1,
因为没有xy项,
所以-4m+7+2m-1=0,
解得m=3.
故答案为:3.