有这样一道题:“计算(2x^3-3x^2y-2xy^2)-(x^3-2xy^2+y^3)+(-x^3+3x^2y-y^3)的值x=2009 y=1 甲同学你、把x=2009看成x=-2009.但结果仍正确.计算出最后的值,说说怎么回事?

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/14 01:21:40

有这样一道题:“计算(2x^3-3x^2y-2xy^2)-(x^3-2xy^2+y^3)+(-x^3+3x^2y-y^3)的值
x=2009 y=1 甲同学你、把x=2009看成x=-2009.但结果仍正确.计算出最后的值,说说怎么回事?

(2x^3-3x^2y-2xy^2)-(x^3-2xy^2+y^3)+(-x^3+3x^2y-y^3)
=2x³-3x²y-2xy²-x³+2xy²-y³-x³+3x²y-y³
=-2y³
最后的值,与x无关

将(2x^3-3x^2y-2xy^2)-(x^3-2xy^2+y^3)+(-x^3+3x^2y-y^3)化简会发现:
(2x^3-3x^2y-2xy^2)-(x^3-2xy^2+y^3)+(-x^3+3x^2y-y^3)=-2y^3
也就是说其值与x无关 so x抄错结果也正确

(2x^3-3x^2y-2xy^2)-(x^3-2xy^2+y^3)+(-x^3+3x^2y-y^3)
=2x³-3x²y-2xy²-x³+2xy²-y³-x³+3x²y-y³
=-2y³
最后的值,与x无关

撒打算