化简:1/xy+1/(x+4)(y+4)+1/(x+8)(y+8)+.1/(x+4n)(y+4n)
问题描述:
化简:1/xy+1/(x+4)(y+4)+1/(x+8)(y+8)+.1/(x+4n)(y+4n)
化简:1/xy+1/(x+4)(y+4)+1/(x+8)(y+8)+1/(x+12)(y+12)+.1/(x+4n)(y+4n)
其中x=4,y=4或x=4,y=8
(1/xy=xy分之一,1/(x+4)(y+4)=(x+4)(y+4)分之一,以此推类)
答
x=y=4 我做不出x=4,y=8 我做出le1/xy=(1/x-1/y)*(1/y-x)1/(x+4)(y+4)=(1/(x+4)-1/(y+4))*(1/y-x).以此推类提取(1/y-x) 原式=( 1/y-x)*(1/x-1/y+1/(x+4)-1/(y+4).1/(x+4n)-1/(y+4n))因为x=4,y=8所以 原式=(1/4)*( ...