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