小明在解答题目:“已知x=3,y=-1,求代数式(x3+3x2y-5xy2+6x3+1)-(2x3-y3-2xy2-x2y-2)-(4x2y+7x3+y

小明在解答题目:“已知x=3,y=-1,求代数式(x3+3x2y-5xy2+6x3+1)-(2x3-y3-2xy2-x2y-2)-(4x2y+7x3+y3-4xy2-1)的值”时,误把“x=3,y=-1”写成“x=3,y=1”,但其计算结果仍然是正确的,请解释其中原因.

原式=x3+3x2y-5xy2+6x3+1-2x3+y3+2xy2+x2y+2-4x2y-7x3-y3+4xy2+1
=-2x3+xy2+4,
由于y为偶次幂,故误把“x=3,y=-1”写成“x=3,y=1”,但其计算结果仍然是正确的.
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