作业帮化简(x+y)-(2x+y/2)-(3x+y/6)-(4x+y/12)-(5x+y/20)-……-(10x+y/90)
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/30 06:33:19
化简(x+y)-(2x+y/2)-(3x+y/6)-(4x+y/12)-(5x+y/20)-……-(10x+y/90)
(x+y)-(2x+y/2)-(3x+y/6)-(4x+y/12)-(5x+y/20)-……-(10x+y/90)
=x-2x-3x-4x-..-10x+y*(1-1/2-1/6-1/12-..1/90)
=2x-(1+2+..+10)x+y*(1-1/1+1/2-1/2+1/3-..-1/9+1/10)
=2x-10*(1+10)x/2+y*1/10
=2x-55x+y/10
=-53x+y/10
=x-2x-3x-4x-..-10x+y*(1-1/2-1/6-1/12-..1/90)
=2x-(1+2+..+10)x+y*(1-1/1+1/2-1/2+1/3-..-1/9+1/10)
=2x-10*(1+10)x/2+y*1/10
=2x-55x+y/10
=-53x+y/10
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