题目内容
有这样一道计算题:“求计算3x2y+[2x2y﹣(5x2y2﹣y2)]﹣5(x2y+y2﹣x2y2)的值,其中x=
,y=﹣1”,甲同学把x=
看错成x=﹣
把y=﹣1看错成y=1,但计算结果仍正确,你说是怎么一回事?
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解:原式=3x2y+2x2y﹣5x2y2+y2﹣5x2y﹣5y2+5x2y2=﹣4y2,
∵化简结果=﹣4y2,
∴与x的取值无关,
又∵y=±1,
∴y2=1,
∴原式=﹣4.
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解:原式=3x2y+2x2y﹣5x2y2+y2﹣5x2y﹣5y2+5x2y2=﹣4y2,
∵化简结果=﹣4y2,
∴与x的取值无关,
又∵y=±1,
∴y2=1,
∴原式=﹣4.