先化简再求值(-x^3+x^2y-y^3)-(x^2-2xy^2+y^3)+(2x^2-3x^2y-2xy^2),x=2009,y=-1/2,
问题描述:
先化简再求值(-x^3+x^2y-y^3)-(x^2-2xy^2+y^3)+(2x^2-3x^2y-2xy^2),x=2009,y=-1/2,
小董同学将x=2009,错抄成x=2090,但他求得的结果也是正确的,你说只是怎么回事
答
写错两个地方
(-x^3+x^2y-y^3)-(x^3-2xy^2+y^3)+(2x^3-3x^2y-2xy^2)
=-x^3+x^2y-y^3-x^3+2xy^2-y^3+2x^3-3x^2y-2xy^2
=-2x^2y-2y^3
x=2009和-2009,x^2值一样
所以他求得的结果也是正确的