若多项式x2+kxy+xy-2中不含xy项,且k2-(2a-1)=0,化简求(k+2a)2-(k-2a)2-2k(k-1)的值.

问题描述:

若多项式x2+kxy+xy-2中不含xy项,且k2-(2a-1)=0,化简求(k+2a)2-(k-2a)2-2k(k-1)的值.

x2+kxy+xy-2=x2+(k+1)xy-2,则k+1=0,解得:k=-1.k2-(2a-1)=0即1-(2a-1)=0,解得:a=1.(k+2a)2-(k-2a)2-2k(k-1)=(k+2a+k-2a)(k+2a-k+2a)-2k(k-1)=2k•4a-2k2+2k=8ak-2k2+2k.当k=-1,a=1时,原...