化简求值.(1)y(x+y)+(x+y)(x-y)-x2,其中x=-2,y=12;(2)(x+y)2-2x(x+y),其中x=3,y=2.-数学

题目简介

化简求值.(1)y(x+y)+(x+y)(x-y)-x2,其中x=-2,y=12;(2)(x+y)2-2x(x+y),其中x=3,y=2.-数学

题目详情

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.
题型:解答题难度:中档来源:不详

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=class="stub"1
2
时,原式=-2×class="stub"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.

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