问题 解答题

先化简,再求值:[(x-y)2+(x+y)(x-y)]÷2x,其中x=3,y=-1.5.

答案

解法一:[(x-y)2+(x+y)(x-y)]÷2x,

=[(x-y)(x-y)+(x+y)]÷2x,

=(2x2-2xy)÷2x,

=x-y,

当x=3,y=-1.5时,原式=3-(-1.5)=4.5;

解法二:[(x-y)2+(x+y)(x-y)]÷2x,

=[(x2-2xy+y2)+(x2-y2)]÷2x,

=(2x2-2xy)÷2x,

=x-y,

当x=3,y=-1.5时,原式=3-(-1.5)=4.5.

单项选择题
单项选择题