问题 解答题
化简求值.
(1)y(x+y)+(x+y)(x-y)-x2,其中x=-2,y=
1
2

(2)(x+y)2-2x(x+y),其中x=3,y=2.
答案

(1)y(x+y)+(x+y)(x-y)-x2

=(y+x-y)(x+y)-x2

=x2+xy-x2

=xy,

当x=-2,y=

1
2
时,原式=-2×
1
2
=-1;

(2)(x+y)2-2x(x+y),

=(x+y)(x+y-2x)

=(y+x)(y-x)

=y2-x2

当x=3,y=2时,原式=22-32=4-9=-5.

单项选择题
单项选择题