已知代数式3x^2-2y+6的值为8,那么代数式3xy^2-2xy-3/2y^2-2x+y+2的值为

问题描述:

已知代数式3x^2-2y+6的值为8,那么代数式3xy^2-2xy-3/2y^2-2x+y+2的值为
1个回答 分类:数学 2014-12-11

问题解答:

我来补答
3xy^2-2xy-3/2y^2-2x+y+2
=x(3y^2-2y)-1/2(3y^2-2y)-2x+2
=(x-1/2)(3y^2-2y)-2(x-1/2)+1
=(x-1/2)(3x^2-2y-2)+1
因为3x^2-2y+6=8
所以3x^2-2y-2=0
故:3xy^2-2xy-3/2y^2-2x+y+2=1
 
 
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