已知A=4x2-4xy+y2,B=x2+xy-5y2,求A-3B.

问题描述:

已知A=4x2-4xy+y2,B=x2+xy-5y2,求A-3B.

∵A=4x2-4xy+y2,B=x2+xy-5y2
A-3B=4x2-4xy+y2-3(x2+xy-5y2),
=4x2-4xy+y2-3x2-3xy+15y2
=x2-7xy+16y2