x+y=8,xy=-2,求(5xy+4x+7y)+(6x-3xy)-(4xy-3y)的值
问题描述:
x+y=8,xy=-2,求(5xy+4x+7y)+(6x-3xy)-(4xy-3y)的值
答
(5xy+4x+7y)+(6x-3xy)-(4xy-3y)
= 5xy + 4x + 7y + 6x - 3xy - 4xy + 3y
= (5xy - 3xy -4xy) + (4x + 6x) + (7y + 3y)
= -2xy + 10x + 10y
= -2xy + 10(x+y)
= 4 + 80
= 84