已知代数式:A=2x2+3xy+2y-1,B=x2-xy+x-1/2; (1)当x-y=-1,xy=1时,求A-2B的值; (2)若A-2B的值与x的取值无关,求y的值.
问题描述:
已知代数式:A=2x2+3xy+2y-1,B=x2-xy+x-
;1 2
(1)当x-y=-1,xy=1时,求A-2B的值;
(2)若A-2B的值与x的取值无关,求y的值.
答
(1)∵A=2x2+3xy+2y-1,B=x2-xy+x-12,x-y=-1,xy=1,∴A-2B=(2x2+3xy+2y-1)-2(x2-xy+x-12)=2x2+3xy+2y-1-2x2+2xy-2x+1=5xy+2y-2x=5xy+2(y-x)=5+2=7.(2)A-2B=5xy+2y-2x=(5y-2)x+2y,∵A-2B的取值与x无关...