【题目】Ax2﹣2xy+y2Bx2y2,求(1)A+B (2)AB


参考答案:

【答案】﹣2xy+2y2

【解析】

(1)将AB的代数式代入A+B,再去括号、合并同类项即可得;

(2)将AB的代数式代入A﹣B,再去括号、合并同类项即可得.

(1)A+B=(x2﹣2xy+y2)+(x2﹣y2

=x2﹣2xy+y2+x2﹣y2

=2x2﹣2xy;

(2)A﹣B=(x2﹣2xy+y2)﹣(x2﹣y2

=x2﹣2xy+y2﹣x2+y2

=﹣2xy+2y2

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