问题 解答题

已知A=4x2-4xy+y2,B=x2+xy-5y2,求:

(1)A-3B;

(2)3A+B.

答案

(1)∵A=4x2-4xy+y,2B=x2+xy-5y2

∴A-3B=(4x2-4xy+y2)-3(x2+xy-5y2

=4x2-4xy+y2-3x2-3xy+15y2

=(4-3)x2-(4+3)xy+(1+15)y2

=x2-7xy+16y2

(2)∵A=4x2-4xy+y2,B=x2+xy-5y2

∴3A+B=3(4x2-4xy+y2)+(x2+xy-5y2

=12x2-12xy+3y2+x2+xy-5y2

=(12+1)x2-(12-1)xy+(3-5)y2

=13x2-11xy-2y2

单项选择题
单项选择题 A3/A4型题