试题

题目:
现规定
.
ab
cd
.
=a-b+c-d
,试计算
.
xy-3x2-2xy-x2
-2x2-3-5+xy
.

答案
解:由题意得:
.
xy-3x2-2xy-x2
-2x2-3-5+xy
.
=(xy-3x2)-(-2xy-x2)+(-2x2-3)-(-5+xy)
=xy-3x2+2xy+x2-2x2-3+5-xy
=2xy-4x2+2.
解:由题意得:
.
xy-3x2-2xy-x2
-2x2-3-5+xy
.
=(xy-3x2)-(-2xy-x2)+(-2x2-3)-(-5+xy)
=xy-3x2+2xy+x2-2x2-3+5-xy
=2xy-4x2+2.
考点梳理
整式的加减.
首先根据例题可得
.
xy-3x2-2xy-x2
-2x2-3-5+xy
.
=(xy-3x2)-(-2xy-x2)+(-2x2-3)-(-5+xy),然后再去括号,合并同类项即可.
此题主要考查了正式的加减,关键是弄懂例题含义,列出式子.
新定义.
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