作业帮有这样一道题:计算(2x^4-4x^3y-2x^2y^2)-(x^4-2x^2y^2+y^3)+(-x^4+4x^3y-
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/22 13:31:35
有这样一道题:计算(2x^4-4x^3y-2x^2y^2)-(x^4-2x^2y^2+y^3)+(-x^4+4x^3y-y^3)的值,其中x=2010,y=-1.甲同
把“x=2010”错抄成“x=2001”,但他计算的结果也是正确的,你说这是为什么?
把“x=2010”错抄成“x=2001”,但他计算的结果也是正确的,你说这是为什么?
(2x^4-4x^3y-2x^2y^2)-(x^4-2x^2y^2+y^3)+(-x^4+4x^3y-y^3)
=2x^4-4x^3y-2x^2y^2-x^4+2x^2y^2-y^3-x^4+4x^3y-y^3
=2x^4-x^4-x^4+4x^3y-4x^3y-2x^2y^2+2x^2y^2-y^3-y^3
=4x^3y-4x^3y-2x^2y^2+2x^2y^2-y^3-y^3
=-2x^2y^2+2x^2y^2-y^3-y^3
=-y^3-y^3
=-2y^3
=-2*(-1)^3
=-2*(-1)
=2
化简结果与x无关,
=2x^4-4x^3y-2x^2y^2-x^4+2x^2y^2-y^3-x^4+4x^3y-y^3
=2x^4-x^4-x^4+4x^3y-4x^3y-2x^2y^2+2x^2y^2-y^3-y^3
=4x^3y-4x^3y-2x^2y^2+2x^2y^2-y^3-y^3
=-2x^2y^2+2x^2y^2-y^3-y^3
=-y^3-y^3
=-2y^3
=-2*(-1)^3
=-2*(-1)
=2
化简结果与x无关,
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有这样一道题:计算(2x^4-4x^3-2x^2y^2)-(x^4-2x^2y^2+y3)+(-x^4+4x^3y-y^