化简求值:[(x+2y)^2-(x-2y)^2-(x+2y)(x-2y)-4y^2]/2x,其中x=2014,y=-1/2014_数学解答

化简求值:[(x+2y)^2-(x-2y)^2-(x+2y)(x-2y)-4y^2]/2x,其中x=2014,y=-1/2014

人气：333 ℃　时间：2020-03-31 18:16:55

解答

[(x+2y)^2-(x-2y)^2-(x+2y)(x-2y)-4y^2]/2x
=((x+2y+x-2y)(x+2y-x+2y)-x²+4y²-4y²)/2x
=(8xy-x²)/2x
=4y-x/2;
=4×(-1/2014)-2014/2
=-2/1007-1007
=-1007又1007分之2；
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